Least Common Multiple of 40/20, 65/21, 65/28, 49/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/20, 65/21, 65/28, 49/550 quickly i.e. 25480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/20, 65/21, 65/28, 49/550 is 25480.

LCM(40/20, 65/21, 65/28, 49/550) = 25480

LCM of 40/20, 65/21, 65/28, 49/550

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 40/20,65/21,65/28,49/550

Given numbers are 40/20,65/21,65/28,49/550

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 40,65,65,49

Least Common Multiple of Numerators i.e. LCM of 40,65,65,49 is 25480.

GCF of Denominators means GCF of 20,21,28,550 as per the given fractions.

GCF of 20,21,28,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,65,65,49

LCM of Fractions 40/20,65/21,65/28,49/550 is 25480

5 40, 65, 65, 49
13 8, 13, 13, 49
8, 1, 1, 49

∴ So the LCM of the given numbers is 5 x 13 x 8 x 1 x 1 x 49 = 25480

Least Common Multiple of 40,65,65,49 with GCF Formula

Least Common Multiple of 40,65,65,49 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 40,65,65,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,65,65,49) = 1

common factors(in case of two or more numbers have common factors) = 325

GCF(40,65,65,49) x common factors =1 x 325 = 325

LCM(40,65,65,49) = ( 40 × 65 × 65 × 49 ) / 325

LCM(40,65,65,49) = 8281000 / 325

LCM(40,65,65,49) = 25480


Lets's calculate GCF of 20,21,28,550

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25480/1

Therefore the LCM of Fractions 40/20,65/21,65/28,49/550 is 25480

Greatest Common Factor of 20,21,28,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,21,28,550 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 20,21,28,550 . The biggest common factor number is the GCF number.
So the greatest common factor 20,21,28,550 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 40/20, 65/21, 65/28, 49/550

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 40/20, 65/21, 65/28, 49/550?

Answer: LCM of Numerators as per given numbers 40/20, 65/21, 65/28, 49/550 is

LCM of Numerators i.e. for 40,65,65,49 is 25480

GCF of denominators i.e. for 20,21,28,550 is 1.

Thus, LCM of Fractions is 25480.Finally, LCM of Fractions for 40/20, 65/21, 65/28, 49/550 is 25480.