Least Common Multiple of 53/638, 42/156, 704/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/638, 42/156, 704/524 quickly i.e. 391776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/638, 42/156, 704/524 is 391776.

LCM(53/638, 42/156, 704/524) = 391776

LCM of 53/638, 42/156, 704/524

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 53/638,42/156,704/524

Given numbers are 53/638,42/156,704/524

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 53,42,704

Least Common Multiple of Numerators i.e. LCM of 53,42,704 is 783552.

GCF of Denominators means GCF of 638,156,524 as per the given fractions.

GCF of 638,156,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,42,704

LCM of Fractions 53/638,42/156,704/524 is 391776

2 53, 42, 704
53, 21, 352

∴ So the LCM of the given numbers is 2 x 53 x 21 x 352 = 783552

Least Common Multiple of 53,42,704 with GCF Formula

Least Common Multiple of 53,42,704 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 53,42,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,42,704) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,42,704) x common factors =1 x 2 = 2

LCM(53,42,704) = ( 53 × 42 × 704 ) / 2

LCM(53,42,704) = 1567104 / 2

LCM(53,42,704) = 783552


Lets's calculate GCF of 638,156,524

2 638, 156, 524
319, 78, 262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 783552/2

Therefore the LCM of Fractions 53/638,42/156,704/524 is 391776

Greatest Common Factor of 638,156,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,156,524 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 638,156,524 . The biggest common factor number is the GCF number.
So the greatest common factor 638,156,524 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 53/638, 42/156, 704/524

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 53/638, 42/156, 704/524?

Answer: LCM of Numerators as per given numbers 53/638, 42/156, 704/524 is

LCM of Numerators i.e. for 53,42,704 is 783552

GCF of denominators i.e. for 638,156,524 is 2.

Thus, LCM of Fractions is 391776.Finally, LCM of Fractions for 53/638, 42/156, 704/524 is 391776.