Least Common Multiple of 124/64, 398/43, 372/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/64, 398/43, 372/468 quickly i.e. 74028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/64, 398/43, 372/468 is 74028.

LCM(124/64, 398/43, 372/468) = 74028

LCM of 124/64, 398/43, 372/468

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 124/64,398/43,372/468

Given numbers are 124/64,398/43,372/468

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 124,398,372

Least Common Multiple of Numerators i.e. LCM of 124,398,372 is 74028.

GCF of Denominators means GCF of 64,43,468 as per the given fractions.

GCF of 64,43,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,398,372

LCM of Fractions 124/64,398/43,372/468 is 74028

2 124, 398, 372
2 62, 199, 186
31 31, 199, 93
1, 199, 3

∴ So the LCM of the given numbers is 2 x 2 x 31 x 1 x 199 x 3 = 74028

Least Common Multiple of 124,398,372 with GCF Formula

Least Common Multiple of 124,398,372 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 124,398,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,398,372) = 2

common factors(in case of two or more numbers have common factors) = 124

GCF(124,398,372) x common factors =2 x 124 = 248

LCM(124,398,372) = ( 124 × 398 × 372 ) / 248

LCM(124,398,372) = 18358944 / 248

LCM(124,398,372) = 74028


Lets's calculate GCF of 64,43,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74028/1

Therefore the LCM of Fractions 124/64,398/43,372/468 is 74028

Greatest Common Factor of 64,43,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,43,468 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 64,43,468 . The biggest common factor number is the GCF number.
So the greatest common factor 64,43,468 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 124/64, 398/43, 372/468

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 124/64, 398/43, 372/468?

Answer: LCM of Numerators as per given numbers 124/64, 398/43, 372/468 is

LCM of Numerators i.e. for 124,398,372 is 74028

GCF of denominators i.e. for 64,43,468 is 1.

Thus, LCM of Fractions is 74028.Finally, LCM of Fractions for 124/64, 398/43, 372/468 is 74028.