Least Common Multiple of 8970/537, 7258/5021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8970/537, 7258/5021 quickly i.e. 32552130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8970/537, 7258/5021 is 32552130.

LCM(8970/537, 7258/5021) = 32552130

LCM of 8970/537, 7258/5021

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 8970/537,7258/5021

Given numbers are 8970/537,7258/5021

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 8970,7258

Least Common Multiple of Numerators i.e. LCM of 8970,7258 is 32552130.

GCF of Denominators means GCF of 537,5021 as per the given fractions.

GCF of 537,5021 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8970,7258

LCM of Fractions 8970/537,7258/5021 is 32552130

2 8970, 7258
4485, 3629

∴ So the LCM of the given numbers is 2 x 4485 x 3629 = 32552130

Least Common Multiple of 8970,7258 with GCF Formula

Least Common Multiple of 8970,7258 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 8970,7258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8970,7258) = 2

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

GCF(8970,7258) x common factors =2 x 1 = 2

LCM(8970,7258) = ( 8970 × 7258 ) / 2

LCM(8970,7258) = 65104260 / 2

LCM(8970,7258) = 32552130


Lets's calculate GCF of 537,5021

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32552130/1

Therefore the LCM of Fractions 8970/537,7258/5021 is 32552130

Greatest Common Factor of 537,5021 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,5021 By Matching Biggest Common Factor Method

Factors of 537

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

1,3,179,537

Factors of 5021

List of positive integer factors of 5021 that divides 5021 without a remainder.

1,5021

Greatest Common Factor

We found the factors 537,5021 . The biggest common factor number is the GCF number.
So the greatest common factor 537,5021 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8970/537, 7258/5021

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 8970/537, 7258/5021?

Answer: LCM of Numerators as per given numbers 8970/537, 7258/5021 is

LCM of Numerators i.e. for 8970,7258 is 32552130

GCF of denominators i.e. for 537,5021 is 1.

Thus, LCM of Fractions is 32552130.Finally, LCM of Fractions for 8970/537, 7258/5021 is 32552130.