Least Common Multiple of 24/420, 960/824, 108/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/420, 960/824, 108/364 quickly i.e. 2160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/420, 960/824, 108/364 is 2160.

LCM(24/420, 960/824, 108/364) = 2160

LCM of 24/420, 960/824, 108/364

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 24/420,960/824,108/364

Given numbers are 24/420,960/824,108/364

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 24,960,108

Least Common Multiple of Numerators i.e. LCM of 24,960,108 is 8640.

GCF of Denominators means GCF of 420,824,364 as per the given fractions.

GCF of 420,824,364 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,960,108

LCM of Fractions 24/420,960/824,108/364 is 2160

2 24, 960, 108
2 12, 480, 54
2 6, 240, 27
3 3, 120, 27
1, 40, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 40 x 9 = 8640

Least Common Multiple of 24,960,108 with GCF Formula

Least Common Multiple of 24,960,108 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 24,960,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,960,108) = 12

common factors(in case of two or more numbers have common factors) = 24

GCF(24,960,108) x common factors =12 x 24 = 288

LCM(24,960,108) = ( 24 × 960 × 108 ) / 288

LCM(24,960,108) = 2488320 / 288

LCM(24,960,108) = 8640


Lets's calculate GCF of 420,824,364

2 420, 824, 364
2 210, 412, 182
105, 206, 91

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8640/4

Therefore the LCM of Fractions 24/420,960/824,108/364 is 2160

Greatest Common Factor of 420,824,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,824,364 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 420,824,364 . The biggest common factor number is the GCF number.
So the greatest common factor 420,824,364 is 4.


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 24/420, 960/824, 108/364

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 24/420, 960/824, 108/364?

Answer: LCM of Numerators as per given numbers 24/420, 960/824, 108/364 is

LCM of Numerators i.e. for 24,960,108 is 8640

GCF of denominators i.e. for 420,824,364 is 4.

Thus, LCM of Fractions is 2160.Finally, LCM of Fractions for 24/420, 960/824, 108/364 is 2160.