Least Common Multiple of 539/57, 5229/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 539/57, 5229/642 quickly i.e. 134211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/57, 5229/642 is 134211.

LCM(539/57, 5229/642) = 134211

LCM of 539/57, 5229/642

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 539/57,5229/642

Given numbers are 539/57,5229/642

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 539,5229

Least Common Multiple of Numerators i.e. LCM of 539,5229 is 402633.

GCF of Denominators means GCF of 57,642 as per the given fractions.

GCF of 57,642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,5229

LCM of Fractions 539/57,5229/642 is 134211

7 539, 5229
77, 747

∴ So the LCM of the given numbers is 7 x 77 x 747 = 402633

Least Common Multiple of 539,5229 with GCF Formula

Least Common Multiple of 539,5229 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 539,5229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,5229) = 7

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

GCF(539,5229) x common factors =7 x 1 = 7

LCM(539,5229) = ( 539 × 5229 ) / 7

LCM(539,5229) = 2818431 / 7

LCM(539,5229) = 402633


Lets's calculate GCF of 57,642

3 57, 642
19, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402633/3

Therefore the LCM of Fractions 539/57,5229/642 is 134211

Greatest Common Factor of 57,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,642 By Matching Biggest Common Factor Method

Factors of 57

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

1,3,19,57

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 57,642 . The biggest common factor number is the GCF number.
So the greatest common factor 57,642 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 539/57, 5229/642

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 539/57, 5229/642?

Answer: LCM of Numerators as per given numbers 539/57, 5229/642 is

LCM of Numerators i.e. for 539,5229 is 402633

GCF of denominators i.e. for 57,642 is 3.

Thus, LCM of Fractions is 134211.Finally, LCM of Fractions for 539/57, 5229/642 is 134211.