Least Common Multiple of 24/69, 83/21, 78/54, 86/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/69, 83/21, 78/54, 86/138 quickly i.e. 371176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/69, 83/21, 78/54, 86/138 is 371176.

LCM(24/69, 83/21, 78/54, 86/138) = 371176

LCM of 24/69, 83/21, 78/54, 86/138

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 24/69,83/21,78/54,86/138

Given numbers are 24/69,83/21,78/54,86/138

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 24,83,78,86

Least Common Multiple of Numerators i.e. LCM of 24,83,78,86 is 1113528.

GCF of Denominators means GCF of 69,21,54,138 as per the given fractions.

GCF of 69,21,54,138 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,83,78,86

LCM of Fractions 24/69,83/21,78/54,86/138 is 371176

2 24, 83, 78, 86
3 12, 83, 39, 43
4, 83, 13, 43

∴ So the LCM of the given numbers is 2 x 3 x 4 x 83 x 13 x 43 = 1113528

Least Common Multiple of 24,83,78,86 with GCF Formula

Least Common Multiple of 24,83,78,86 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 24,83,78,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,83,78,86) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(24,83,78,86) x common factors =1 x 12 = 12

LCM(24,83,78,86) = ( 24 × 83 × 78 × 86 ) / 12

LCM(24,83,78,86) = 13362336 / 12

LCM(24,83,78,86) = 1113528


Lets's calculate GCF of 69,21,54,138

3 69, 21, 54, 138
23, 7, 18, 46

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1113528/3

Therefore the LCM of Fractions 24/69,83/21,78/54,86/138 is 371176

Greatest Common Factor of 69,21,54,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,21,54,138 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 21

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

1,3,7,21

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 69,21,54,138 . The biggest common factor number is the GCF number.
So the greatest common factor 69,21,54,138 is 3.


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 24/69, 83/21, 78/54, 86/138

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 24/69, 83/21, 78/54, 86/138?

Answer: LCM of Numerators as per given numbers 24/69, 83/21, 78/54, 86/138 is

LCM of Numerators i.e. for 24,83,78,86 is 1113528

GCF of denominators i.e. for 69,21,54,138 is 3.

Thus, LCM of Fractions is 371176.Finally, LCM of Fractions for 24/69, 83/21, 78/54, 86/138 is 371176.