Least Common Multiple of 537/84, 956/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/84, 956/537 quickly i.e. 171124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/84, 956/537 is 171124.

LCM(537/84, 956/537) = 171124

LCM of 537/84, 956/537

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 537/84,956/537

Given numbers are 537/84,956/537

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 537,956

Least Common Multiple of Numerators i.e. LCM of 537,956 is 513372.

GCF of Denominators means GCF of 84,537 as per the given fractions.

GCF of 84,537 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,956

LCM of Fractions 537/84,956/537 is 171124

Given numbers has no common factors except 1. So, there LCM is their product i.e 513372

Least Common Multiple of 537,956 with GCF Formula

Least Common Multiple of 537,956 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 537,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,956) = 1

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

GCF(537,956) x common factors =1 x 1 = 1

LCM(537,956) = ( 537 × 956 ) / 1

LCM(537,956) = 513372 / 1

LCM(537,956) = 513372


Lets's calculate GCF of 84,537

3 84, 537
28, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 513372/3

Therefore the LCM of Fractions 537/84,956/537 is 171124

Greatest Common Factor of 84,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,537 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 84,537 . The biggest common factor number is the GCF number.
So the greatest common factor 84,537 is 3.


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 537/84, 956/537

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 537/84, 956/537?

Answer: LCM of Numerators as per given numbers 537/84, 956/537 is

LCM of Numerators i.e. for 537,956 is 513372

GCF of denominators i.e. for 84,537 is 3.

Thus, LCM of Fractions is 171124.Finally, LCM of Fractions for 537/84, 956/537 is 171124.