Least Common Multiple of 357/20, 137/57, 132/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 357/20, 137/57, 132/426 quickly i.e. 2151996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/20, 137/57, 132/426 is 2151996.

LCM(357/20, 137/57, 132/426) = 2151996

LCM of 357/20, 137/57, 132/426

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 357/20,137/57,132/426

Given numbers are 357/20,137/57,132/426

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 357,137,132

Least Common Multiple of Numerators i.e. LCM of 357,137,132 is 2151996.

GCF of Denominators means GCF of 20,57,426 as per the given fractions.

GCF of 20,57,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,137,132

LCM of Fractions 357/20,137/57,132/426 is 2151996

3 357, 137, 132
119, 137, 44

∴ So the LCM of the given numbers is 3 x 119 x 137 x 44 = 2151996

Least Common Multiple of 357,137,132 with GCF Formula

Least Common Multiple of 357,137,132 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 357,137,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,137,132) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(357,137,132) x common factors =1 x 3 = 3

LCM(357,137,132) = ( 357 × 137 × 132 ) / 3

LCM(357,137,132) = 6455988 / 3

LCM(357,137,132) = 2151996


Lets's calculate GCF of 20,57,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2151996/1

Therefore the LCM of Fractions 357/20,137/57,132/426 is 2151996

Greatest Common Factor of 20,57,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,57,426 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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 20,57,426 . The biggest common factor number is the GCF number.
So the greatest common factor 20,57,426 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 357/20, 137/57, 132/426

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 357/20, 137/57, 132/426?

Answer: LCM of Numerators as per given numbers 357/20, 137/57, 132/426 is

LCM of Numerators i.e. for 357,137,132 is 2151996

GCF of denominators i.e. for 20,57,426 is 1.

Thus, LCM of Fractions is 2151996.Finally, LCM of Fractions for 357/20, 137/57, 132/426 is 2151996.