Least Common Multiple of 27/120, 97/563, 460/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/120, 97/563, 460/215 quickly i.e. 1204740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/120, 97/563, 460/215 is 1204740.

LCM(27/120, 97/563, 460/215) = 1204740

LCM of 27/120, 97/563, 460/215

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 27/120,97/563,460/215

Given numbers are 27/120,97/563,460/215

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 27,97,460

Least Common Multiple of Numerators i.e. LCM of 27,97,460 is 1204740.

GCF of Denominators means GCF of 120,563,215 as per the given fractions.

GCF of 120,563,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,97,460

LCM of Fractions 27/120,97/563,460/215 is 1204740

Given numbers has no common factors except 1. So, there LCM is their product i.e 1204740

Least Common Multiple of 27,97,460 with GCF Formula

Least Common Multiple of 27,97,460 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 27,97,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,97,460) = 1

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

GCF(27,97,460) x common factors =1 x 1 = 1

LCM(27,97,460) = ( 27 × 97 × 460 ) / 1

LCM(27,97,460) = 1204740 / 1

LCM(27,97,460) = 1204740


Lets's calculate GCF of 120,563,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1204740/1

Therefore the LCM of Fractions 27/120,97/563,460/215 is 1204740

Greatest Common Factor of 120,563,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,563,215 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 120,563,215 . The biggest common factor number is the GCF number.
So the greatest common factor 120,563,215 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 27/120, 97/563, 460/215

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 27/120, 97/563, 460/215?

Answer: LCM of Numerators as per given numbers 27/120, 97/563, 460/215 is

LCM of Numerators i.e. for 27,97,460 is 1204740

GCF of denominators i.e. for 120,563,215 is 1.

Thus, LCM of Fractions is 1204740.Finally, LCM of Fractions for 27/120, 97/563, 460/215 is 1204740.