Least Common Multiple of 24/208, 43/256, 922/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/208, 43/256, 922/949 quickly i.e. 475752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/208, 43/256, 922/949 is 475752.

LCM(24/208, 43/256, 922/949) = 475752

LCM of 24/208, 43/256, 922/949

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 24/208,43/256,922/949

Given numbers are 24/208,43/256,922/949

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 24,43,922

Least Common Multiple of Numerators i.e. LCM of 24,43,922 is 475752.

GCF of Denominators means GCF of 208,256,949 as per the given fractions.

GCF of 208,256,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,43,922

LCM of Fractions 24/208,43/256,922/949 is 475752

2 24, 43, 922
12, 43, 461

∴ So the LCM of the given numbers is 2 x 12 x 43 x 461 = 475752

Least Common Multiple of 24,43,922 with GCF Formula

Least Common Multiple of 24,43,922 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 24,43,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,43,922) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,43,922) x common factors =1 x 2 = 2

LCM(24,43,922) = ( 24 × 43 × 922 ) / 2

LCM(24,43,922) = 951504 / 2

LCM(24,43,922) = 475752


Lets's calculate GCF of 208,256,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 475752/1

Therefore the LCM of Fractions 24/208,43/256,922/949 is 475752

Greatest Common Factor of 208,256,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,256,949 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 208,256,949 . The biggest common factor number is the GCF number.
So the greatest common factor 208,256,949 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 24/208, 43/256, 922/949

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 24/208, 43/256, 922/949?

Answer: LCM of Numerators as per given numbers 24/208, 43/256, 922/949 is

LCM of Numerators i.e. for 24,43,922 is 475752

GCF of denominators i.e. for 208,256,949 is 1.

Thus, LCM of Fractions is 475752.Finally, LCM of Fractions for 24/208, 43/256, 922/949 is 475752.