Least Common Multiple of 57/912, 756/740, 744/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/912, 756/740, 744/684 quickly i.e. 222642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/912, 756/740, 744/684 is 222642.

LCM(57/912, 756/740, 744/684) = 222642

LCM of 57/912, 756/740, 744/684

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 57/912,756/740,744/684

Given numbers are 57/912,756/740,744/684

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 57,756,744

Least Common Multiple of Numerators i.e. LCM of 57,756,744 is 890568.

GCF of Denominators means GCF of 912,740,684 as per the given fractions.

GCF of 912,740,684 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,756,744

LCM of Fractions 57/912,756/740,744/684 is 222642

2 57, 756, 744
2 57, 378, 372
3 57, 189, 186
19, 63, 62

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 63 x 62 = 890568

Least Common Multiple of 57,756,744 with GCF Formula

Least Common Multiple of 57,756,744 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 57,756,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,756,744) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(57,756,744) x common factors =3 x 12 = 36

LCM(57,756,744) = ( 57 × 756 × 744 ) / 36

LCM(57,756,744) = 32060448 / 36

LCM(57,756,744) = 890568


Lets's calculate GCF of 912,740,684

2 912, 740, 684
2 456, 370, 342
228, 185, 171

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 890568/4

Therefore the LCM of Fractions 57/912,756/740,744/684 is 222642

Greatest Common Factor of 912,740,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,740,684 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 912,740,684 . The biggest common factor number is the GCF number.
So the greatest common factor 912,740,684 is 4.


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 57/912, 756/740, 744/684

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 57/912, 756/740, 744/684?

Answer: LCM of Numerators as per given numbers 57/912, 756/740, 744/684 is

LCM of Numerators i.e. for 57,756,744 is 890568

GCF of denominators i.e. for 912,740,684 is 4.

Thus, LCM of Fractions is 222642.Finally, LCM of Fractions for 57/912, 756/740, 744/684 is 222642.