Least Common Multiple of 76/646, 107/720, 118/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/646, 107/720, 118/245 quickly i.e. 479788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/646, 107/720, 118/245 is 479788.

LCM(76/646, 107/720, 118/245) = 479788

LCM of 76/646, 107/720, 118/245

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 76/646,107/720,118/245

Given numbers are 76/646,107/720,118/245

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 76,107,118

Least Common Multiple of Numerators i.e. LCM of 76,107,118 is 479788.

GCF of Denominators means GCF of 646,720,245 as per the given fractions.

GCF of 646,720,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,107,118

LCM of Fractions 76/646,107/720,118/245 is 479788

2 76, 107, 118
38, 107, 59

∴ So the LCM of the given numbers is 2 x 38 x 107 x 59 = 479788

Least Common Multiple of 76,107,118 with GCF Formula

Least Common Multiple of 76,107,118 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 76,107,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,107,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,107,118) x common factors =1 x 2 = 2

LCM(76,107,118) = ( 76 × 107 × 118 ) / 2

LCM(76,107,118) = 959576 / 2

LCM(76,107,118) = 479788


Lets's calculate GCF of 646,720,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479788/1

Therefore the LCM of Fractions 76/646,107/720,118/245 is 479788

Greatest Common Factor of 646,720,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,720,245 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 646,720,245 . The biggest common factor number is the GCF number.
So the greatest common factor 646,720,245 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 76/646, 107/720, 118/245

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 76/646, 107/720, 118/245?

Answer: LCM of Numerators as per given numbers 76/646, 107/720, 118/245 is

LCM of Numerators i.e. for 76,107,118 is 479788

GCF of denominators i.e. for 646,720,245 is 1.

Thus, LCM of Fractions is 479788.Finally, LCM of Fractions for 76/646, 107/720, 118/245 is 479788.