Least Common Multiple of 909/24, 892/63, 324/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 909/24, 892/63, 324/840 quickly i.e. 2432484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/24, 892/63, 324/840 is 2432484.

LCM(909/24, 892/63, 324/840) = 2432484

LCM of 909/24, 892/63, 324/840

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 909/24,892/63,324/840

Given numbers are 909/24,892/63,324/840

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 909,892,324

Least Common Multiple of Numerators i.e. LCM of 909,892,324 is 7297452.

GCF of Denominators means GCF of 24,63,840 as per the given fractions.

GCF of 24,63,840 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,892,324

LCM of Fractions 909/24,892/63,324/840 is 2432484

2 909, 892, 324
2 909, 446, 162
3 909, 223, 81
3 303, 223, 27
101, 223, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 101 x 223 x 9 = 7297452

Least Common Multiple of 909,892,324 with GCF Formula

Least Common Multiple of 909,892,324 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 909,892,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,892,324) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(909,892,324) x common factors =1 x 36 = 36

LCM(909,892,324) = ( 909 × 892 × 324 ) / 36

LCM(909,892,324) = 262708272 / 36

LCM(909,892,324) = 7297452


Lets's calculate GCF of 24,63,840

3 24, 63, 840
8, 21, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7297452/3

Therefore the LCM of Fractions 909/24,892/63,324/840 is 2432484

Greatest Common Factor of 24,63,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,63,840 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 24,63,840 . The biggest common factor number is the GCF number.
So the greatest common factor 24,63,840 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 909/24, 892/63, 324/840

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 909/24, 892/63, 324/840?

Answer: LCM of Numerators as per given numbers 909/24, 892/63, 324/840 is

LCM of Numerators i.e. for 909,892,324 is 7297452

GCF of denominators i.e. for 24,63,840 is 3.

Thus, LCM of Fractions is 2432484.Finally, LCM of Fractions for 909/24, 892/63, 324/840 is 2432484.