Least Common Multiple of 987/49, 525/22, 504/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/49, 525/22, 504/979 quickly i.e. 592200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/49, 525/22, 504/979 is 592200.

LCM(987/49, 525/22, 504/979) = 592200

LCM of 987/49, 525/22, 504/979

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 987/49,525/22,504/979

Given numbers are 987/49,525/22,504/979

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 987,525,504

Least Common Multiple of Numerators i.e. LCM of 987,525,504 is 592200.

GCF of Denominators means GCF of 49,22,979 as per the given fractions.

GCF of 49,22,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,525,504

LCM of Fractions 987/49,525/22,504/979 is 592200

3 987, 525, 504
7 329, 175, 168
47, 25, 24

∴ So the LCM of the given numbers is 3 x 7 x 47 x 25 x 24 = 592200

Least Common Multiple of 987,525,504 with GCF Formula

Least Common Multiple of 987,525,504 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 987,525,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,525,504) = 21

common factors(in case of two or more numbers have common factors) = 21

GCF(987,525,504) x common factors =21 x 21 = 441

LCM(987,525,504) = ( 987 × 525 × 504 ) / 441

LCM(987,525,504) = 261160200 / 441

LCM(987,525,504) = 592200


Lets's calculate GCF of 49,22,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592200/1

Therefore the LCM of Fractions 987/49,525/22,504/979 is 592200

Greatest Common Factor of 49,22,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,22,979 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 49,22,979 . The biggest common factor number is the GCF number.
So the greatest common factor 49,22,979 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 987/49, 525/22, 504/979

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 987/49, 525/22, 504/979?

Answer: LCM of Numerators as per given numbers 987/49, 525/22, 504/979 is

LCM of Numerators i.e. for 987,525,504 is 592200

GCF of denominators i.e. for 49,22,979 is 1.

Thus, LCM of Fractions is 592200.Finally, LCM of Fractions for 987/49, 525/22, 504/979 is 592200.