Least Common Multiple of 972/987, 4401/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/987, 4401/940 quickly i.e. 158436/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/987, 4401/940 is 158436/47.

LCM(972/987, 4401/940) = 158436/47

LCM of 972/987, 4401/940

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 972/987,4401/940

Given numbers are 972/987,4401/940

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 972,4401

Least Common Multiple of Numerators i.e. LCM of 972,4401 is 158436.

GCF of Denominators means GCF of 987,940 as per the given fractions.

GCF of 987,940 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,4401

LCM of Fractions 972/987,4401/940 is 158436/47

3 972, 4401
3 324, 1467
3 108, 489
36, 163

∴ So the LCM of the given numbers is 3 x 3 x 3 x 36 x 163 = 158436

Least Common Multiple of 972,4401 with GCF Formula

Least Common Multiple of 972,4401 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 972,4401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,4401) = 27

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

GCF(972,4401) x common factors =27 x 1 = 27

LCM(972,4401) = ( 972 × 4401 ) / 27

LCM(972,4401) = 4277772 / 27

LCM(972,4401) = 158436


Lets's calculate GCF of 987,940

47 987, 940
21, 20

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158436/47

Therefore the LCM of Fractions 972/987,4401/940 is 158436/47

Greatest Common Factor of 987,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,940 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 987,940 . The biggest common factor number is the GCF number.
So the greatest common factor 987,940 is 47.


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 972/987, 4401/940

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 972/987, 4401/940?

Answer: LCM of Numerators as per given numbers 972/987, 4401/940 is

LCM of Numerators i.e. for 972,4401 is 158436

GCF of denominators i.e. for 987,940 is 47.

Thus, LCM of Fractions is 158436/47.Finally, LCM of Fractions for 972/987, 4401/940 is 158436/47.