Least Common Multiple of 21/24, 48/53, 16/48, 76/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/24, 48/53, 16/48, 76/702 quickly i.e. 6384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/24, 48/53, 16/48, 76/702 is 6384.

LCM(21/24, 48/53, 16/48, 76/702) = 6384

LCM of 21/24, 48/53, 16/48, 76/702

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 21/24,48/53,16/48,76/702

Given numbers are 21/24,48/53,16/48,76/702

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 21,48,16,76

Least Common Multiple of Numerators i.e. LCM of 21,48,16,76 is 6384.

GCF of Denominators means GCF of 24,53,48,702 as per the given fractions.

GCF of 24,53,48,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,48,16,76

LCM of Fractions 21/24,48/53,16/48,76/702 is 6384

2 21, 48, 16, 76
2 21, 24, 8, 38
2 21, 12, 4, 19
2 21, 6, 2, 19
3 21, 3, 1, 19
7, 1, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 1 x 1 x 19 = 6384

Least Common Multiple of 21,48,16,76 with GCF Formula

Least Common Multiple of 21,48,16,76 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 21,48,16,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,48,16,76) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(21,48,16,76) x common factors =1 x 192 = 192

LCM(21,48,16,76) = ( 21 × 48 × 16 × 76 ) / 192

LCM(21,48,16,76) = 1225728 / 192

LCM(21,48,16,76) = 6384


Lets's calculate GCF of 24,53,48,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6384/1

Therefore the LCM of Fractions 21/24,48/53,16/48,76/702 is 6384

Greatest Common Factor of 24,53,48,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,53,48,702 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 24,53,48,702 . The biggest common factor number is the GCF number.
So the greatest common factor 24,53,48,702 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 21/24, 48/53, 16/48, 76/702

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 21/24, 48/53, 16/48, 76/702?

Answer: LCM of Numerators as per given numbers 21/24, 48/53, 16/48, 76/702 is

LCM of Numerators i.e. for 21,48,16,76 is 6384

GCF of denominators i.e. for 24,53,48,702 is 1.

Thus, LCM of Fractions is 6384.Finally, LCM of Fractions for 21/24, 48/53, 16/48, 76/702 is 6384.