Least Common Multiple of 24/79, 40/88, 90/74, 846/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/79, 40/88, 90/74, 846/40 quickly i.e. 16920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/79, 40/88, 90/74, 846/40 is 16920.

LCM(24/79, 40/88, 90/74, 846/40) = 16920

LCM of 24/79, 40/88, 90/74, 846/40

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 24/79,40/88,90/74,846/40

Given numbers are 24/79,40/88,90/74,846/40

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 24,40,90,846

Least Common Multiple of Numerators i.e. LCM of 24,40,90,846 is 16920.

GCF of Denominators means GCF of 79,88,74,40 as per the given fractions.

GCF of 79,88,74,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,40,90,846

LCM of Fractions 24/79,40/88,90/74,846/40 is 16920

2 24, 40, 90, 846
2 12, 20, 45, 423
2 6, 10, 45, 423
3 3, 5, 45, 423
3 1, 5, 15, 141
5 1, 5, 5, 47
1, 1, 1, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 1 x 1 x 47 = 16920

Least Common Multiple of 24,40,90,846 with GCF Formula

Least Common Multiple of 24,40,90,846 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 24,40,90,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,40,90,846) = 2

common factors(in case of two or more numbers have common factors) = 2160

GCF(24,40,90,846) x common factors =2 x 2160 = 4320

LCM(24,40,90,846) = ( 24 × 40 × 90 × 846 ) / 4320

LCM(24,40,90,846) = 73094400 / 4320

LCM(24,40,90,846) = 16920


Lets's calculate GCF of 79,88,74,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16920/1

Therefore the LCM of Fractions 24/79,40/88,90/74,846/40 is 16920

Greatest Common Factor of 79,88,74,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,88,74,40 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 74

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

1,2,37,74

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 79,88,74,40 . The biggest common factor number is the GCF number.
So the greatest common factor 79,88,74,40 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 24/79, 40/88, 90/74, 846/40

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 24/79, 40/88, 90/74, 846/40?

Answer: LCM of Numerators as per given numbers 24/79, 40/88, 90/74, 846/40 is

LCM of Numerators i.e. for 24,40,90,846 is 16920

GCF of denominators i.e. for 79,88,74,40 is 1.

Thus, LCM of Fractions is 16920.Finally, LCM of Fractions for 24/79, 40/88, 90/74, 846/40 is 16920.