Least Common Multiple of 820/29, 635/84, 979/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/29, 635/84, 979/335 quickly i.e. 101953060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/29, 635/84, 979/335 is 101953060.

LCM(820/29, 635/84, 979/335) = 101953060

LCM of 820/29, 635/84, 979/335

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 820/29,635/84,979/335

Given numbers are 820/29,635/84,979/335

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 820,635,979

Least Common Multiple of Numerators i.e. LCM of 820,635,979 is 101953060.

GCF of Denominators means GCF of 29,84,335 as per the given fractions.

GCF of 29,84,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,635,979

LCM of Fractions 820/29,635/84,979/335 is 101953060

5 820, 635, 979
164, 127, 979

∴ So the LCM of the given numbers is 5 x 164 x 127 x 979 = 101953060

Least Common Multiple of 820,635,979 with GCF Formula

Least Common Multiple of 820,635,979 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 820,635,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,635,979) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(820,635,979) x common factors =1 x 5 = 5

LCM(820,635,979) = ( 820 × 635 × 979 ) / 5

LCM(820,635,979) = 509765300 / 5

LCM(820,635,979) = 101953060


Lets's calculate GCF of 29,84,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101953060/1

Therefore the LCM of Fractions 820/29,635/84,979/335 is 101953060

Greatest Common Factor of 29,84,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,84,335 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 29,84,335 . The biggest common factor number is the GCF number.
So the greatest common factor 29,84,335 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 820/29, 635/84, 979/335

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 820/29, 635/84, 979/335?

Answer: LCM of Numerators as per given numbers 820/29, 635/84, 979/335 is

LCM of Numerators i.e. for 820,635,979 is 101953060

GCF of denominators i.e. for 29,84,335 is 1.

Thus, LCM of Fractions is 101953060.Finally, LCM of Fractions for 820/29, 635/84, 979/335 is 101953060.