Least Common Multiple of 48/61, 89/25, 39/76, 21/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/61, 89/25, 39/76, 21/868 quickly i.e. 388752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/61, 89/25, 39/76, 21/868 is 388752.

LCM(48/61, 89/25, 39/76, 21/868) = 388752

LCM of 48/61, 89/25, 39/76, 21/868

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 48/61,89/25,39/76,21/868

Given numbers are 48/61,89/25,39/76,21/868

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 48,89,39,21

Least Common Multiple of Numerators i.e. LCM of 48,89,39,21 is 388752.

GCF of Denominators means GCF of 61,25,76,868 as per the given fractions.

GCF of 61,25,76,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,89,39,21

LCM of Fractions 48/61,89/25,39/76,21/868 is 388752

3 48, 89, 39, 21
16, 89, 13, 7

∴ So the LCM of the given numbers is 3 x 16 x 89 x 13 x 7 = 388752

Least Common Multiple of 48,89,39,21 with GCF Formula

Least Common Multiple of 48,89,39,21 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 48,89,39,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,89,39,21) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(48,89,39,21) x common factors =1 x 9 = 9

LCM(48,89,39,21) = ( 48 × 89 × 39 × 21 ) / 9

LCM(48,89,39,21) = 3498768 / 9

LCM(48,89,39,21) = 388752


Lets's calculate GCF of 61,25,76,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388752/1

Therefore the LCM of Fractions 48/61,89/25,39/76,21/868 is 388752

Greatest Common Factor of 61,25,76,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,25,76,868 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 25

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

1,5,25

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 61,25,76,868 . The biggest common factor number is the GCF number.
So the greatest common factor 61,25,76,868 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 48/61, 89/25, 39/76, 21/868

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 48/61, 89/25, 39/76, 21/868?

Answer: LCM of Numerators as per given numbers 48/61, 89/25, 39/76, 21/868 is

LCM of Numerators i.e. for 48,89,39,21 is 388752

GCF of denominators i.e. for 61,25,76,868 is 1.

Thus, LCM of Fractions is 388752.Finally, LCM of Fractions for 48/61, 89/25, 39/76, 21/868 is 388752.