Least Common Multiple of 79/82, 46/32, 772/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/82, 46/32, 772/972 quickly i.e. 701362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/82, 46/32, 772/972 is 701362.

LCM(79/82, 46/32, 772/972) = 701362

LCM of 79/82, 46/32, 772/972

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 79/82,46/32,772/972

Given numbers are 79/82,46/32,772/972

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 79,46,772

Least Common Multiple of Numerators i.e. LCM of 79,46,772 is 1402724.

GCF of Denominators means GCF of 82,32,972 as per the given fractions.

GCF of 82,32,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,46,772

LCM of Fractions 79/82,46/32,772/972 is 701362

2 79, 46, 772
79, 23, 386

∴ So the LCM of the given numbers is 2 x 79 x 23 x 386 = 1402724

Least Common Multiple of 79,46,772 with GCF Formula

Least Common Multiple of 79,46,772 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 79,46,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,46,772) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,46,772) x common factors =1 x 2 = 2

LCM(79,46,772) = ( 79 × 46 × 772 ) / 2

LCM(79,46,772) = 2805448 / 2

LCM(79,46,772) = 1402724


Lets's calculate GCF of 82,32,972

2 82, 32, 972
41, 16, 486

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1402724/2

Therefore the LCM of Fractions 79/82,46/32,772/972 is 701362

Greatest Common Factor of 82,32,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,32,972 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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

Greatest Common Factor

We found the factors 82,32,972 . The biggest common factor number is the GCF number.
So the greatest common factor 82,32,972 is 2.


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 79/82, 46/32, 772/972

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 79/82, 46/32, 772/972?

Answer: LCM of Numerators as per given numbers 79/82, 46/32, 772/972 is

LCM of Numerators i.e. for 79,46,772 is 1402724

GCF of denominators i.e. for 82,32,972 is 2.

Thus, LCM of Fractions is 701362.Finally, LCM of Fractions for 79/82, 46/32, 772/972 is 701362.