Least Common Multiple of 21/82, 677/92, 736/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/82, 677/92, 736/979 quickly i.e. 10463712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/82, 677/92, 736/979 is 10463712.

LCM(21/82, 677/92, 736/979) = 10463712

LCM of 21/82, 677/92, 736/979

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 21/82,677/92,736/979

Given numbers are 21/82,677/92,736/979

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 21,677,736

Least Common Multiple of Numerators i.e. LCM of 21,677,736 is 10463712.

GCF of Denominators means GCF of 82,92,979 as per the given fractions.

GCF of 82,92,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,677,736

LCM of Fractions 21/82,677/92,736/979 is 10463712

Given numbers has no common factors except 1. So, there LCM is their product i.e 10463712

Least Common Multiple of 21,677,736 with GCF Formula

Least Common Multiple of 21,677,736 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 21,677,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,677,736) = 1

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

GCF(21,677,736) x common factors =1 x 1 = 1

LCM(21,677,736) = ( 21 × 677 × 736 ) / 1

LCM(21,677,736) = 10463712 / 1

LCM(21,677,736) = 10463712


Lets's calculate GCF of 82,92,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10463712/1

Therefore the LCM of Fractions 21/82,677/92,736/979 is 10463712

Greatest Common Factor of 82,92,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,92,979 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

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 82,92,979 . The biggest common factor number is the GCF number.
So the greatest common factor 82,92,979 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 21/82, 677/92, 736/979

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 21/82, 677/92, 736/979?

Answer: LCM of Numerators as per given numbers 21/82, 677/92, 736/979 is

LCM of Numerators i.e. for 21,677,736 is 10463712

GCF of denominators i.e. for 82,92,979 is 1.

Thus, LCM of Fractions is 10463712.Finally, LCM of Fractions for 21/82, 677/92, 736/979 is 10463712.