Least Common Multiple of 1422/972, 9672/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1422/972, 9672/331 quickly i.e. 2292264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1422/972, 9672/331 is 2292264.

LCM(1422/972, 9672/331) = 2292264

LCM of 1422/972, 9672/331

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 1422/972,9672/331

Given numbers are 1422/972,9672/331

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 1422,9672

Least Common Multiple of Numerators i.e. LCM of 1422,9672 is 2292264.

GCF of Denominators means GCF of 972,331 as per the given fractions.

GCF of 972,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1422,9672

LCM of Fractions 1422/972,9672/331 is 2292264

2 1422, 9672
3 711, 4836
237, 1612

∴ So the LCM of the given numbers is 2 x 3 x 237 x 1612 = 2292264

Least Common Multiple of 1422,9672 with GCF Formula

Least Common Multiple of 1422,9672 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 1422,9672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1422,9672) = 6

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

GCF(1422,9672) x common factors =6 x 1 = 6

LCM(1422,9672) = ( 1422 × 9672 ) / 6

LCM(1422,9672) = 13753584 / 6

LCM(1422,9672) = 2292264


Lets's calculate GCF of 972,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2292264/1

Therefore the LCM of Fractions 1422/972,9672/331 is 2292264

Greatest Common Factor of 972,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,331 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 972,331 . The biggest common factor number is the GCF number.
So the greatest common factor 972,331 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 1422/972, 9672/331

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 1422/972, 9672/331?

Answer: LCM of Numerators as per given numbers 1422/972, 9672/331 is

LCM of Numerators i.e. for 1422,9672 is 2292264

GCF of denominators i.e. for 972,331 is 1.

Thus, LCM of Fractions is 2292264.Finally, LCM of Fractions for 1422/972, 9672/331 is 2292264.