Least Common Multiple of 5412/724, 6642/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5412/724, 6642/502 quickly i.e. 73062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5412/724, 6642/502 is 73062.

LCM(5412/724, 6642/502) = 73062

LCM of 5412/724, 6642/502

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 5412/724,6642/502

Given numbers are 5412/724,6642/502

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 5412,6642

Least Common Multiple of Numerators i.e. LCM of 5412,6642 is 146124.

GCF of Denominators means GCF of 724,502 as per the given fractions.

GCF of 724,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5412,6642

LCM of Fractions 5412/724,6642/502 is 73062

2 5412, 6642
3 2706, 3321
41 902, 1107
22, 27

∴ So the LCM of the given numbers is 2 x 3 x 41 x 22 x 27 = 146124

Least Common Multiple of 5412,6642 with GCF Formula

Least Common Multiple of 5412,6642 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 5412,6642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5412,6642) = 246

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

GCF(5412,6642) x common factors =246 x 1 = 246

LCM(5412,6642) = ( 5412 × 6642 ) / 246

LCM(5412,6642) = 35946504 / 246

LCM(5412,6642) = 146124


Lets's calculate GCF of 724,502

2 724, 502
362, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146124/2

Therefore the LCM of Fractions 5412/724,6642/502 is 73062

Greatest Common Factor of 724,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,502 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 724,502 . The biggest common factor number is the GCF number.
So the greatest common factor 724,502 is 2.


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 5412/724, 6642/502

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 5412/724, 6642/502?

Answer: LCM of Numerators as per given numbers 5412/724, 6642/502 is

LCM of Numerators i.e. for 5412,6642 is 146124

GCF of denominators i.e. for 724,502 is 2.

Thus, LCM of Fractions is 73062.Finally, LCM of Fractions for 5412/724, 6642/502 is 73062.