Least Common Multiple of 79/21, 96/51, 24/68, 426/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/21, 96/51, 24/68, 426/67 quickly i.e. 538464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/21, 96/51, 24/68, 426/67 is 538464.

LCM(79/21, 96/51, 24/68, 426/67) = 538464

LCM of 79/21, 96/51, 24/68, 426/67

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 79/21,96/51,24/68,426/67

Given numbers are 79/21,96/51,24/68,426/67

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 79,96,24,426

Least Common Multiple of Numerators i.e. LCM of 79,96,24,426 is 538464.

GCF of Denominators means GCF of 21,51,68,67 as per the given fractions.

GCF of 21,51,68,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,96,24,426

LCM of Fractions 79/21,96/51,24/68,426/67 is 538464

2 79, 96, 24, 426
2 79, 48, 12, 213
2 79, 24, 6, 213
3 79, 12, 3, 213
79, 4, 1, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 79 x 4 x 1 x 71 = 538464

Least Common Multiple of 79,96,24,426 with GCF Formula

Least Common Multiple of 79,96,24,426 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 79,96,24,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,96,24,426) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(79,96,24,426) x common factors =1 x 144 = 144

LCM(79,96,24,426) = ( 79 × 96 × 24 × 426 ) / 144

LCM(79,96,24,426) = 77538816 / 144

LCM(79,96,24,426) = 538464


Lets's calculate GCF of 21,51,68,67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 538464/1

Therefore the LCM of Fractions 79/21,96/51,24/68,426/67 is 538464

Greatest Common Factor of 21,51,68,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,51,68,67 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors 21,51,68,67 . The biggest common factor number is the GCF number.
So the greatest common factor 21,51,68,67 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 79/21, 96/51, 24/68, 426/67

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 79/21, 96/51, 24/68, 426/67?

Answer: LCM of Numerators as per given numbers 79/21, 96/51, 24/68, 426/67 is

LCM of Numerators i.e. for 79,96,24,426 is 538464

GCF of denominators i.e. for 21,51,68,67 is 1.

Thus, LCM of Fractions is 538464.Finally, LCM of Fractions for 79/21, 96/51, 24/68, 426/67 is 538464.