Least Common Multiple of 572/48, 269/28, 538/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/48, 269/28, 538/956 quickly i.e. 38467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/48, 269/28, 538/956 is 38467.

LCM(572/48, 269/28, 538/956) = 38467

LCM of 572/48, 269/28, 538/956

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 572/48,269/28,538/956

Given numbers are 572/48,269/28,538/956

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 572,269,538

Least Common Multiple of Numerators i.e. LCM of 572,269,538 is 153868.

GCF of Denominators means GCF of 48,28,956 as per the given fractions.

GCF of 48,28,956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,269,538

LCM of Fractions 572/48,269/28,538/956 is 38467

2 572, 269, 538
269 286, 269, 269
286, 1, 1

∴ So the LCM of the given numbers is 2 x 269 x 286 x 1 x 1 = 153868

Least Common Multiple of 572,269,538 with GCF Formula

Least Common Multiple of 572,269,538 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 572,269,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,269,538) = 1

common factors(in case of two or more numbers have common factors) = 538

GCF(572,269,538) x common factors =1 x 538 = 538

LCM(572,269,538) = ( 572 × 269 × 538 ) / 538

LCM(572,269,538) = 82780984 / 538

LCM(572,269,538) = 153868


Lets's calculate GCF of 48,28,956

2 48, 28, 956
2 24, 14, 478
12, 7, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153868/4

Therefore the LCM of Fractions 572/48,269/28,538/956 is 38467

Greatest Common Factor of 48,28,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,28,956 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 48,28,956 . The biggest common factor number is the GCF number.
So the greatest common factor 48,28,956 is 4.


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 572/48, 269/28, 538/956

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 572/48, 269/28, 538/956?

Answer: LCM of Numerators as per given numbers 572/48, 269/28, 538/956 is

LCM of Numerators i.e. for 572,269,538 is 153868

GCF of denominators i.e. for 48,28,956 is 4.

Thus, LCM of Fractions is 38467.Finally, LCM of Fractions for 572/48, 269/28, 538/956 is 38467.