Least Common Multiple of 63/74, 56/21, 72/65, 53/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/74, 56/21, 72/65, 53/868 quickly i.e. 26712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/74, 56/21, 72/65, 53/868 is 26712.

LCM(63/74, 56/21, 72/65, 53/868) = 26712

LCM of 63/74, 56/21, 72/65, 53/868

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 63/74,56/21,72/65,53/868

Given numbers are 63/74,56/21,72/65,53/868

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 63,56,72,53

Least Common Multiple of Numerators i.e. LCM of 63,56,72,53 is 26712.

GCF of Denominators means GCF of 74,21,65,868 as per the given fractions.

GCF of 74,21,65,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,56,72,53

LCM of Fractions 63/74,56/21,72/65,53/868 is 26712

2 63, 56, 72, 53
2 63, 28, 36, 53
2 63, 14, 18, 53
3 63, 7, 9, 53
3 21, 7, 3, 53
7 7, 7, 1, 53
1, 1, 1, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 1 x 1 x 53 = 26712

Least Common Multiple of 63,56,72,53 with GCF Formula

Least Common Multiple of 63,56,72,53 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 63,56,72,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,56,72,53) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(63,56,72,53) x common factors =1 x 504 = 504

LCM(63,56,72,53) = ( 63 × 56 × 72 × 53 ) / 504

LCM(63,56,72,53) = 13462848 / 504

LCM(63,56,72,53) = 26712


Lets's calculate GCF of 74,21,65,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26712/1

Therefore the LCM of Fractions 63/74,56/21,72/65,53/868 is 26712

Greatest Common Factor of 74,21,65,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,21,65,868 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 74,21,65,868 . The biggest common factor number is the GCF number.
So the greatest common factor 74,21,65,868 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 63/74, 56/21, 72/65, 53/868

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 63/74, 56/21, 72/65, 53/868?

Answer: LCM of Numerators as per given numbers 63/74, 56/21, 72/65, 53/868 is

LCM of Numerators i.e. for 63,56,72,53 is 26712

GCF of denominators i.e. for 74,21,65,868 is 1.

Thus, LCM of Fractions is 26712.Finally, LCM of Fractions for 63/74, 56/21, 72/65, 53/868 is 26712.