Least Common Multiple of 57/24, 943/51, 719/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/24, 943/51, 719/918 quickly i.e. 12882323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/24, 943/51, 719/918 is 12882323.

LCM(57/24, 943/51, 719/918) = 12882323

LCM of 57/24, 943/51, 719/918

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 57/24,943/51,719/918

Given numbers are 57/24,943/51,719/918

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 57,943,719

Least Common Multiple of Numerators i.e. LCM of 57,943,719 is 38646969.

GCF of Denominators means GCF of 24,51,918 as per the given fractions.

GCF of 24,51,918 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,943,719

LCM of Fractions 57/24,943/51,719/918 is 12882323

Given numbers has no common factors except 1. So, there LCM is their product i.e 38646969

Least Common Multiple of 57,943,719 with GCF Formula

Least Common Multiple of 57,943,719 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 57,943,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,943,719) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(57,943,719) x common factors =1 x 1 = 1

LCM(57,943,719) = ( 57 × 943 × 719 ) / 1

LCM(57,943,719) = 38646969 / 1

LCM(57,943,719) = 38646969


Lets's calculate GCF of 24,51,918

3 24, 51, 918
8, 17, 306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38646969/3

Therefore the LCM of Fractions 57/24,943/51,719/918 is 12882323

Greatest Common Factor of 24,51,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,51,918 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 24,51,918 . The biggest common factor number is the GCF number.
So the greatest common factor 24,51,918 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 57/24, 943/51, 719/918

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 57/24, 943/51, 719/918?

Answer: LCM of Numerators as per given numbers 57/24, 943/51, 719/918 is

LCM of Numerators i.e. for 57,943,719 is 38646969

GCF of denominators i.e. for 24,51,918 is 3.

Thus, LCM of Fractions is 12882323.Finally, LCM of Fractions for 57/24, 943/51, 719/918 is 12882323.