Least Common Multiple of 815/178, 968/601, 220/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/178, 968/601, 220/144 quickly i.e. 788920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/178, 968/601, 220/144 is 788920.

LCM(815/178, 968/601, 220/144) = 788920

LCM of 815/178, 968/601, 220/144

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 815/178,968/601,220/144

Given numbers are 815/178,968/601,220/144

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 815,968,220

Least Common Multiple of Numerators i.e. LCM of 815,968,220 is 788920.

GCF of Denominators means GCF of 178,601,144 as per the given fractions.

GCF of 178,601,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,968,220

LCM of Fractions 815/178,968/601,220/144 is 788920

2 815, 968, 220
2 815, 484, 110
5 815, 242, 55
11 163, 242, 11
163, 22, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 163 x 22 x 1 = 788920

Least Common Multiple of 815,968,220 with GCF Formula

Least Common Multiple of 815,968,220 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 815,968,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,968,220) = 1

common factors(in case of two or more numbers have common factors) = 220

GCF(815,968,220) x common factors =1 x 220 = 220

LCM(815,968,220) = ( 815 × 968 × 220 ) / 220

LCM(815,968,220) = 173562400 / 220

LCM(815,968,220) = 788920


Lets's calculate GCF of 178,601,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 788920/1

Therefore the LCM of Fractions 815/178,968/601,220/144 is 788920

Greatest Common Factor of 178,601,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,601,144 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 178,601,144 . The biggest common factor number is the GCF number.
So the greatest common factor 178,601,144 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 815/178, 968/601, 220/144

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 815/178, 968/601, 220/144?

Answer: LCM of Numerators as per given numbers 815/178, 968/601, 220/144 is

LCM of Numerators i.e. for 815,968,220 is 788920

GCF of denominators i.e. for 178,601,144 is 1.

Thus, LCM of Fractions is 788920.Finally, LCM of Fractions for 815/178, 968/601, 220/144 is 788920.