LCM of 5 Numbers Calculator

Least Common Multiple abbreviated as LCM is the method to determine the smallest multiple that is common for all the positive integers. Let Suppose the integers are a, b, c, d, e then LCM of them are written as LCM(a, b, c, d, e).

How to find LCM or LCD of 5 Numbers?

There are numerous methods when it comes to solving the Least Common Multiple Problems. If you ever need help with calculating the Least Common Denominator manually refer to the further modules. Have a glance at all the methods available for finding the LCM or LCD along with solved examples. They are as such

• Listing Multiples
• Prime Factorization
• Cake/Ladder Method
• Division Method
• Using the Greatest Common Factor GCF

How to find LCM of 5 Numbers using Listing Multiples?

• Finding the multiples of given 5 Numbers is the main step to determine the Least Common Multiple.
• Check for the smallest number that is common among all the multiples of given numbers.
• That is called the LCM of 5 Numbers.

Example

Find LCM(10, 12, 15, 20, 25) using Listing Multiples?

Solution:

Given Input Numbers are 10, 12, 15, 20, 25

Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320

Multiples of 12 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320

Multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330

Multiples of 20 = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340

Multiples of 25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350

Therefore the Smallest Number that is divisible by all the numbers is 300.

Thus, LCM(10, 12, 15, 20, 25) of numbers is 300

How to find LCD of 5 Numbers using Prime Factorization?

• Find the Prime Factors of all the 5 numbers given.
• List the Prime Numbers found as many times they occur often for the given 5 numbers.
• Multiply the Prime Factors together and get the Least Common Denominator or LCD.

Example

Find LCM(4, 8, 12, 16, 20) using the Prime Factorization Method?

Solution:

Given Input Numbers are 4, 8, 12, 16, 20

Prime Factorization of 4 = 2*2

Prime Factorization of 8 = 2*2*2

Prime Factorization of 12 = 2*2*3

Prime Factorization of 16 = 2*2*2*2

Prime Factorization of 20 = 2*2*5

Make a list of prime numbers that occur most often to find the LCM.

The new set is 2, 2, 2, 2, 3, 5

LCM is the multiplication of all the above prime numbers i.e. LCM = 2 x 2 x 2 x 2 x 3 x 5

LCM = 240

Thus, LCM(4, 8, 12, 16, 20) is 240.

How to find LCM of 5 Numbers using the Cake/Ladder Method?

• List out all the 5 numbers given to you in the form of a layer or row.
• Divide the numbers with a prime number that evenly divides at least two or more numbers and get the result to the next layer.
• If any number in the layer is not divisible get it directly the next row.
• Continue dividing the cake layers by prime numbers until you have no more primes that divide two or more numbers.
• LCM is the Product of numbers in the Shape of L i.e. left column and the last row.

Example

Find the Least Common Multiple of 3, 8, 7, 21, 24 using the Cake/Ladder Method?

Solution:

Input Numbers are 3, 8, 7, 21, 24

If you have any number that isn't divisible bring it down to the next line.

LCM is the Product of numbers in the L Shape i.e. left column and last row i.e. 2 x 2 x 2 x 3 x 7

LCM = 168

Thus, LCM(3, 8, 7, 21, 24) is 168.

Least Common Multiple of 5 Numbers using the Division Method?

• List out all the 5 numbers in the form of a row.
• Begin from the lowest prime numbers that are evenly divisible into 1 of the number among all the 5 numbers given.
• If any number isn't divisible get it to the next row.
• Continue dividing with the prime numbers till you have all 1's in the last row.

Example

Evaluate the LCM of 3, 5, 7, 9, 11 using the Division Method?

Solution:

Input Numbers are 3, 5, 7, 9, 11

You can't perform division further as the last row has all 1's

Find the Product of Prime Numbers to get the LCM i.e. LCM = 3 x 3 x 5 x 7 x 11

LCM = 3465

Thus, LCM(3, 5, 7, 9, 11) is 3465.

Least Common Denominator of 5 Numbers using the GCF Method?

• To find the LCM of 5 Numbers firstly find the LCM of the first two numbers.
• Then find the LCM of the result obtained and the third number.
• Continue the same i.e LCM for the result obtained and the fourth number.
• Repeat the same i.e. result obtained and the fifth number and that is the LCM of all 5 numbers.

Example

Find the Least Common Denominator of 12, 18, 24, 30, 40?

Solution:

Given Input Numbers are 12, 18, 24, 30, 40

LCM(12,18) = 36

LCM(36,24) = 72

LCM(72,30) = 360

LCM(360,40) = 360

Therefore, LCM(12, 18, 24, 30, 40) = 360

1. How to find LCM of 5 Numbers easily?

Take the help of the online tool LCM of 5 Numbers Calculator over here to find the Least Common Multiple easily.

2. Where do I find the Best Online Tool to find LCM of 5 Numbers?

You can find the Best Online Tool to find LCM of 5 Numbers from the trustworthy portal lcmgcf.com for all your needs.

3. Where can I get various methods explaining how to find LCM of 5 Numbers?

You can get various methods explaining how to find LCM of 5 Numbers on our page.

4. How to Calculate LCM of 5 Numbers using a Calculator?

Just enter the inputs in the respective input fields and tap on the calculate button to get the Least Common Multiple of 5 Numbers in a short span of time along with detailed work.