Least Common Multiple of 57/713, 948/411, 152/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/713, 948/411, 152/655 quickly i.e. 36024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/713, 948/411, 152/655 is 36024.

LCM(57/713, 948/411, 152/655) = 36024

LCM of 57/713, 948/411, 152/655

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 57/713,948/411,152/655

Given numbers are 57/713,948/411,152/655

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 57,948,152

Least Common Multiple of Numerators i.e. LCM of 57,948,152 is 36024.

GCF of Denominators means GCF of 713,411,655 as per the given fractions.

GCF of 713,411,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,948,152

LCM of Fractions 57/713,948/411,152/655 is 36024

2 57, 948, 152
2 57, 474, 76
3 57, 237, 38
19 19, 79, 38
1, 79, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 79 x 2 = 36024

Least Common Multiple of 57,948,152 with GCF Formula

Least Common Multiple of 57,948,152 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 57,948,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,948,152) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(57,948,152) x common factors =1 x 228 = 228

LCM(57,948,152) = ( 57 × 948 × 152 ) / 228

LCM(57,948,152) = 8213472 / 228

LCM(57,948,152) = 36024


Lets's calculate GCF of 713,411,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36024/1

Therefore the LCM of Fractions 57/713,948/411,152/655 is 36024

Greatest Common Factor of 713,411,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,411,655 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 713,411,655 . The biggest common factor number is the GCF number.
So the greatest common factor 713,411,655 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 57/713, 948/411, 152/655

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 57/713, 948/411, 152/655?

Answer: LCM of Numerators as per given numbers 57/713, 948/411, 152/655 is

LCM of Numerators i.e. for 57,948,152 is 36024

GCF of denominators i.e. for 713,411,655 is 1.

Thus, LCM of Fractions is 36024.Finally, LCM of Fractions for 57/713, 948/411, 152/655 is 36024.