Least Common Multiple of 137/51, 428/4377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 137/51, 428/4377 quickly i.e. 58636/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/51, 428/4377 is 58636/3.

LCM(137/51, 428/4377) = 58636/3

LCM of 137/51, 428/4377

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 137/51,428/4377

Given numbers are 137/51,428/4377

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 137,428

Least Common Multiple of Numerators i.e. LCM of 137,428 is 58636.

GCF of Denominators means GCF of 51,4377 as per the given fractions.

GCF of 51,4377 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,428

LCM of Fractions 137/51,428/4377 is 58636/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 58636

Least Common Multiple of 137,428 with GCF Formula

Least Common Multiple of 137,428 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 137,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,428) = 1

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

GCF(137,428) x common factors =1 x 1 = 1

LCM(137,428) = ( 137 × 428 ) / 1

LCM(137,428) = 58636 / 1

LCM(137,428) = 58636


Lets's calculate GCF of 51,4377

3 51, 4377
17, 1459

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58636/3

Therefore the LCM of Fractions 137/51,428/4377 is 58636/3

Greatest Common Factor of 51,4377 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,4377 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 4377

List of positive integer factors of 4377 that divides 4377 without a remainder.

1,3,1459,4377

Greatest Common Factor

We found the factors 51,4377 . The biggest common factor number is the GCF number.
So the greatest common factor 51,4377 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 137/51, 428/4377

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 137/51, 428/4377?

Answer: LCM of Numerators as per given numbers 137/51, 428/4377 is

LCM of Numerators i.e. for 137,428 is 58636

GCF of denominators i.e. for 51,4377 is 3.

Thus, LCM of Fractions is 58636/3.Finally, LCM of Fractions for 137/51, 428/4377 is 58636/3.