Least Common Multiple of 77/729, 83/650, 518/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/729, 83/650, 518/979 quickly i.e. 472934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/729, 83/650, 518/979 is 472934.

LCM(77/729, 83/650, 518/979) = 472934

LCM of 77/729, 83/650, 518/979

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 77/729,83/650,518/979

Given numbers are 77/729,83/650,518/979

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 77,83,518

Least Common Multiple of Numerators i.e. LCM of 77,83,518 is 472934.

GCF of Denominators means GCF of 729,650,979 as per the given fractions.

GCF of 729,650,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,83,518

LCM of Fractions 77/729,83/650,518/979 is 472934

7 77, 83, 518
11, 83, 74

∴ So the LCM of the given numbers is 7 x 11 x 83 x 74 = 472934

Least Common Multiple of 77,83,518 with GCF Formula

Least Common Multiple of 77,83,518 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 77,83,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,83,518) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,83,518) x common factors =1 x 7 = 7

LCM(77,83,518) = ( 77 × 83 × 518 ) / 7

LCM(77,83,518) = 3310538 / 7

LCM(77,83,518) = 472934


Lets's calculate GCF of 729,650,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472934/1

Therefore the LCM of Fractions 77/729,83/650,518/979 is 472934

Greatest Common Factor of 729,650,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,650,979 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

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 729,650,979 . The biggest common factor number is the GCF number.
So the greatest common factor 729,650,979 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 77/729, 83/650, 518/979

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 77/729, 83/650, 518/979?

Answer: LCM of Numerators as per given numbers 77/729, 83/650, 518/979 is

LCM of Numerators i.e. for 77,83,518 is 472934

GCF of denominators i.e. for 729,650,979 is 1.

Thus, LCM of Fractions is 472934.Finally, LCM of Fractions for 77/729, 83/650, 518/979 is 472934.