Least Common Multiple of 24/57, 346/44, 956/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/57, 346/44, 956/960 quickly i.e. 992328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/57, 346/44, 956/960 is 992328.

LCM(24/57, 346/44, 956/960) = 992328

LCM of 24/57, 346/44, 956/960

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 24/57,346/44,956/960

Given numbers are 24/57,346/44,956/960

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 24,346,956

Least Common Multiple of Numerators i.e. LCM of 24,346,956 is 992328.

GCF of Denominators means GCF of 57,44,960 as per the given fractions.

GCF of 57,44,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,346,956

LCM of Fractions 24/57,346/44,956/960 is 992328

2 24, 346, 956
2 12, 173, 478
6, 173, 239

∴ So the LCM of the given numbers is 2 x 2 x 6 x 173 x 239 = 992328

Least Common Multiple of 24,346,956 with GCF Formula

Least Common Multiple of 24,346,956 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 24,346,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,346,956) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(24,346,956) x common factors =2 x 4 = 8

LCM(24,346,956) = ( 24 × 346 × 956 ) / 8

LCM(24,346,956) = 7938624 / 8

LCM(24,346,956) = 992328


Lets's calculate GCF of 57,44,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 992328/1

Therefore the LCM of Fractions 24/57,346/44,956/960 is 992328

Greatest Common Factor of 57,44,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,44,960 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 57,44,960 . The biggest common factor number is the GCF number.
So the greatest common factor 57,44,960 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 24/57, 346/44, 956/960

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 24/57, 346/44, 956/960?

Answer: LCM of Numerators as per given numbers 24/57, 346/44, 956/960 is

LCM of Numerators i.e. for 24,346,956 is 992328

GCF of denominators i.e. for 57,44,960 is 1.

Thus, LCM of Fractions is 992328.Finally, LCM of Fractions for 24/57, 346/44, 956/960 is 992328.