Least Common Multiple of 21/56, 97/25, 217/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/56, 97/25, 217/811 quickly i.e. 63147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/56, 97/25, 217/811 is 63147.

LCM(21/56, 97/25, 217/811) = 63147

LCM of 21/56, 97/25, 217/811

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 21/56,97/25,217/811

Given numbers are 21/56,97/25,217/811

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 21,97,217

Least Common Multiple of Numerators i.e. LCM of 21,97,217 is 63147.

GCF of Denominators means GCF of 56,25,811 as per the given fractions.

GCF of 56,25,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,97,217

LCM of Fractions 21/56,97/25,217/811 is 63147

7 21, 97, 217
3, 97, 31

∴ So the LCM of the given numbers is 7 x 3 x 97 x 31 = 63147

Least Common Multiple of 21,97,217 with GCF Formula

Least Common Multiple of 21,97,217 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 21,97,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,97,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,97,217) x common factors =1 x 7 = 7

LCM(21,97,217) = ( 21 × 97 × 217 ) / 7

LCM(21,97,217) = 442029 / 7

LCM(21,97,217) = 63147


Lets's calculate GCF of 56,25,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63147/1

Therefore the LCM of Fractions 21/56,97/25,217/811 is 63147

Greatest Common Factor of 56,25,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,25,811 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 56,25,811 . The biggest common factor number is the GCF number.
So the greatest common factor 56,25,811 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 21/56, 97/25, 217/811

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 21/56, 97/25, 217/811?

Answer: LCM of Numerators as per given numbers 21/56, 97/25, 217/811 is

LCM of Numerators i.e. for 21,97,217 is 63147

GCF of denominators i.e. for 56,25,811 is 1.

Thus, LCM of Fractions is 63147.Finally, LCM of Fractions for 21/56, 97/25, 217/811 is 63147.