Least Common Multiple of 118/220, 735/242, 476/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 118/220, 735/242, 476/835 quickly i.e. 2948820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 118/220, 735/242, 476/835 is 2948820.

LCM(118/220, 735/242, 476/835) = 2948820

LCM of 118/220, 735/242, 476/835

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 118/220,735/242,476/835

Given numbers are 118/220,735/242,476/835

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 118,735,476

Least Common Multiple of Numerators i.e. LCM of 118,735,476 is 2948820.

GCF of Denominators means GCF of 220,242,835 as per the given fractions.

GCF of 220,242,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 118,735,476

LCM of Fractions 118/220,735/242,476/835 is 2948820

2 118, 735, 476
7 59, 735, 238
59, 105, 34

∴ So the LCM of the given numbers is 2 x 7 x 59 x 105 x 34 = 2948820

Least Common Multiple of 118,735,476 with GCF Formula

Least Common Multiple of 118,735,476 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 118,735,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,735,476) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(118,735,476) x common factors =1 x 14 = 14

LCM(118,735,476) = ( 118 × 735 × 476 ) / 14

LCM(118,735,476) = 41283480 / 14

LCM(118,735,476) = 2948820


Lets's calculate GCF of 220,242,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2948820/1

Therefore the LCM of Fractions 118/220,735/242,476/835 is 2948820

Greatest Common Factor of 220,242,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,242,835 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 220,242,835 . The biggest common factor number is the GCF number.
So the greatest common factor 220,242,835 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 118/220, 735/242, 476/835

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 118/220, 735/242, 476/835?

Answer: LCM of Numerators as per given numbers 118/220, 735/242, 476/835 is

LCM of Numerators i.e. for 118,735,476 is 2948820

GCF of denominators i.e. for 220,242,835 is 1.

Thus, LCM of Fractions is 2948820.Finally, LCM of Fractions for 118/220, 735/242, 476/835 is 2948820.