Least Common Multiple of 24/920, 397/911, 256/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/920, 397/911, 256/948 quickly i.e. 304896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/920, 397/911, 256/948 is 304896.

LCM(24/920, 397/911, 256/948) = 304896

LCM of 24/920, 397/911, 256/948

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 24/920,397/911,256/948

Given numbers are 24/920,397/911,256/948

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 24,397,256

Least Common Multiple of Numerators i.e. LCM of 24,397,256 is 304896.

GCF of Denominators means GCF of 920,911,948 as per the given fractions.

GCF of 920,911,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,397,256

LCM of Fractions 24/920,397/911,256/948 is 304896

2 24, 397, 256
2 12, 397, 128
2 6, 397, 64
3, 397, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 397 x 32 = 304896

Least Common Multiple of 24,397,256 with GCF Formula

Least Common Multiple of 24,397,256 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 24,397,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,397,256) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(24,397,256) x common factors =1 x 8 = 8

LCM(24,397,256) = ( 24 × 397 × 256 ) / 8

LCM(24,397,256) = 2439168 / 8

LCM(24,397,256) = 304896


Lets's calculate GCF of 920,911,948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304896/1

Therefore the LCM of Fractions 24/920,397/911,256/948 is 304896

Greatest Common Factor of 920,911,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,911,948 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 920,911,948 . The biggest common factor number is the GCF number.
So the greatest common factor 920,911,948 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 24/920, 397/911, 256/948

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 24/920, 397/911, 256/948?

Answer: LCM of Numerators as per given numbers 24/920, 397/911, 256/948 is

LCM of Numerators i.e. for 24,397,256 is 304896

GCF of denominators i.e. for 920,911,948 is 1.

Thus, LCM of Fractions is 304896.Finally, LCM of Fractions for 24/920, 397/911, 256/948 is 304896.