Least Common Multiple of 29/520, 79/111, 706/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/520, 79/111, 706/676 quickly i.e. 1617446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/520, 79/111, 706/676 is 1617446.

LCM(29/520, 79/111, 706/676) = 1617446

LCM of 29/520, 79/111, 706/676

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 29/520,79/111,706/676

Given numbers are 29/520,79/111,706/676

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 29,79,706

Least Common Multiple of Numerators i.e. LCM of 29,79,706 is 1617446.

GCF of Denominators means GCF of 520,111,676 as per the given fractions.

GCF of 520,111,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,79,706

LCM of Fractions 29/520,79/111,706/676 is 1617446

Given numbers has no common factors except 1. So, there LCM is their product i.e 1617446

Least Common Multiple of 29,79,706 with GCF Formula

Least Common Multiple of 29,79,706 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 29,79,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,79,706) = 1

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

GCF(29,79,706) x common factors =1 x 1 = 1

LCM(29,79,706) = ( 29 × 79 × 706 ) / 1

LCM(29,79,706) = 1617446 / 1

LCM(29,79,706) = 1617446


Lets's calculate GCF of 520,111,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1617446/1

Therefore the LCM of Fractions 29/520,79/111,706/676 is 1617446

Greatest Common Factor of 520,111,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,111,676 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 520,111,676 . The biggest common factor number is the GCF number.
So the greatest common factor 520,111,676 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 29/520, 79/111, 706/676

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 29/520, 79/111, 706/676?

Answer: LCM of Numerators as per given numbers 29/520, 79/111, 706/676 is

LCM of Numerators i.e. for 29,79,706 is 1617446

GCF of denominators i.e. for 520,111,676 is 1.

Thus, LCM of Fractions is 1617446.Finally, LCM of Fractions for 29/520, 79/111, 706/676 is 1617446.