Least Common Multiple of 24/453, 999/720, 885/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/453, 999/720, 885/974 quickly i.e. 2357640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/453, 999/720, 885/974 is 2357640.

LCM(24/453, 999/720, 885/974) = 2357640

LCM of 24/453, 999/720, 885/974

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 24/453,999/720,885/974

Given numbers are 24/453,999/720,885/974

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 24,999,885

Least Common Multiple of Numerators i.e. LCM of 24,999,885 is 2357640.

GCF of Denominators means GCF of 453,720,974 as per the given fractions.

GCF of 453,720,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,999,885

LCM of Fractions 24/453,999/720,885/974 is 2357640

3 24, 999, 885
8, 333, 295

∴ So the LCM of the given numbers is 3 x 8 x 333 x 295 = 2357640

Least Common Multiple of 24,999,885 with GCF Formula

Least Common Multiple of 24,999,885 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 24,999,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,999,885) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(24,999,885) x common factors =3 x 3 = 9

LCM(24,999,885) = ( 24 × 999 × 885 ) / 9

LCM(24,999,885) = 21218760 / 9

LCM(24,999,885) = 2357640


Lets's calculate GCF of 453,720,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2357640/1

Therefore the LCM of Fractions 24/453,999/720,885/974 is 2357640

Greatest Common Factor of 453,720,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,720,974 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 453,720,974 . The biggest common factor number is the GCF number.
So the greatest common factor 453,720,974 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/453, 999/720, 885/974

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 24/453, 999/720, 885/974?

Answer: LCM of Numerators as per given numbers 24/453, 999/720, 885/974 is

LCM of Numerators i.e. for 24,999,885 is 2357640

GCF of denominators i.e. for 453,720,974 is 1.

Thus, LCM of Fractions is 2357640.Finally, LCM of Fractions for 24/453, 999/720, 885/974 is 2357640.