Least Common Multiple of 12/356, 5877/8924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/356, 5877/8924 quickly i.e. 5877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/356, 5877/8924 is 5877.

LCM(12/356, 5877/8924) = 5877

LCM of 12/356, 5877/8924

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 12/356,5877/8924

Given numbers are 12/356,5877/8924

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 12,5877

Least Common Multiple of Numerators i.e. LCM of 12,5877 is 23508.

GCF of Denominators means GCF of 356,8924 as per the given fractions.

GCF of 356,8924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,5877

LCM of Fractions 12/356,5877/8924 is 5877

3 12, 5877
4, 1959

∴ So the LCM of the given numbers is 3 x 4 x 1959 = 23508

Least Common Multiple of 12,5877 with GCF Formula

Least Common Multiple of 12,5877 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 12,5877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,5877) = 3

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

GCF(12,5877) x common factors =3 x 1 = 3

LCM(12,5877) = ( 12 × 5877 ) / 3

LCM(12,5877) = 70524 / 3

LCM(12,5877) = 23508


Lets's calculate GCF of 356,8924

2 356, 8924
2 178, 4462
89, 2231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23508/4

Therefore the LCM of Fractions 12/356,5877/8924 is 5877

Greatest Common Factor of 356,8924 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,8924 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 8924

List of positive integer factors of 8924 that divides 8924 without a remainder.

1,2,4,23,46,92,97,194,388,2231,4462,8924

Greatest Common Factor

We found the factors 356,8924 . The biggest common factor number is the GCF number.
So the greatest common factor 356,8924 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 12/356, 5877/8924

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 12/356, 5877/8924?

Answer: LCM of Numerators as per given numbers 12/356, 5877/8924 is

LCM of Numerators i.e. for 12,5877 is 23508

GCF of denominators i.e. for 356,8924 is 4.

Thus, LCM of Fractions is 5877.Finally, LCM of Fractions for 12/356, 5877/8924 is 5877.