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Least Common Multiple of 4/16, 7/36, 11/80, 17/100

Know Least Common Multiple of fractions 4/16, 7/36, 11/80, 17/100 quickly i.e. 1309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/16, 7/36, 11/80, 17/100 is 1309.

LCM(4/16, 7/36, 11/80, 17/100) = 1309

LCM of 4/16, 7/36, 11/80, 17/100

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 4/16,7/36,11/80,17/100

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 4,7,11,17

Least Common Multiple of Numerators i.e. LCM of 4,7,11,17 is 5236.

GCF of Denominators means GCF of 16,36,80,100 as per the given fractions.

GCF of 16,36,80,100 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,7,11,17

Least Common Multiple (LCM) of 4,7,11,17 By Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5236

Least Common Multiple of 4,7,11,17 with GCF Formula

Least Common Multiple of 4,7,11,17 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4,7,11,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,7,11,17) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4,7,11,17) x common factors =1 x 1 = 1

LCM(4,7,11,17) = ( 4 × 7 × 11 × 17 ) / 1

LCM(4,7,11,17) = 5236 / 1

LCM(4,7,11,17) = 5236


Lets's calculate GCF of 16,36,80,100

Greatest Common Factor (GCF) of 16,36,80,100 By Common Division

2 16, 36, 80, 100
2 8, 18, 40, 50
4, 9, 20, 25

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5236/4

Therefore the LCM of Fractions 4/16,7/36,11/80,17/100 is 1309

Greatest Common Factor of 16,36,80,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,36,80,100 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 16,36,80,100 . The biggest common factor number is the GCF number.
So the greatest common factor 16,36,80,100 is 4.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4/16, 7/36, 11/80, 17/100

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 4/16, 7/36, 11/80, 17/100?

Answer: LCM of Numerators as per given numbers 4/16, 7/36, 11/80, 17/100 is

LCM of Numerators i.e. for 4,7,11,17 is 5236

GCF of denominators i.e. for 16,36,80,100 is 4.

Thus, LCM of Fractions is 1309.Finally, LCM of Fractions for 4/16, 7/36, 11/80, 17/100 is 1309.