Least Common Multiple of 504/87, 532/6971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/87, 532/6971 quickly i.e. 9576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/87, 532/6971 is 9576.

LCM(504/87, 532/6971) = 9576

LCM of 504/87, 532/6971

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 504/87,532/6971

Given numbers are 504/87,532/6971

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 504,532

Least Common Multiple of Numerators i.e. LCM of 504,532 is 9576.

GCF of Denominators means GCF of 87,6971 as per the given fractions.

GCF of 87,6971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,532

LCM of Fractions 504/87,532/6971 is 9576

2 504, 532
2 252, 266
7 126, 133
18, 19

∴ So the LCM of the given numbers is 2 x 2 x 7 x 18 x 19 = 9576

Least Common Multiple of 504,532 with GCF Formula

Least Common Multiple of 504,532 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 504,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,532) = 28

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

GCF(504,532) x common factors =28 x 1 = 28

LCM(504,532) = ( 504 × 532 ) / 28

LCM(504,532) = 268128 / 28

LCM(504,532) = 9576


Lets's calculate GCF of 87,6971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9576/1

Therefore the LCM of Fractions 504/87,532/6971 is 9576

Greatest Common Factor of 87,6971 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,6971 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 6971

List of positive integer factors of 6971 that divides 6971 without a remainder.

1,6971

Greatest Common Factor

We found the factors 87,6971 . The biggest common factor number is the GCF number.
So the greatest common factor 87,6971 is 1.


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 504/87, 532/6971

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 504/87, 532/6971?

Answer: LCM of Numerators as per given numbers 504/87, 532/6971 is

LCM of Numerators i.e. for 504,532 is 9576

GCF of denominators i.e. for 87,6971 is 1.

Thus, LCM of Fractions is 9576.Finally, LCM of Fractions for 504/87, 532/6971 is 9576.