Least Common Multiple of 57/185, 456/957, 966/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/185, 456/957, 966/395 quickly i.e. 73416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/185, 456/957, 966/395 is 73416.

LCM(57/185, 456/957, 966/395) = 73416

LCM of 57/185, 456/957, 966/395

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 57/185,456/957,966/395

Given numbers are 57/185,456/957,966/395

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 57,456,966

Least Common Multiple of Numerators i.e. LCM of 57,456,966 is 73416.

GCF of Denominators means GCF of 185,957,395 as per the given fractions.

GCF of 185,957,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,456,966

LCM of Fractions 57/185,456/957,966/395 is 73416

2 57, 456, 966
3 57, 228, 483
19 19, 76, 161
1, 4, 161

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 4 x 161 = 73416

Least Common Multiple of 57,456,966 with GCF Formula

Least Common Multiple of 57,456,966 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 57,456,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,456,966) = 3

common factors(in case of two or more numbers have common factors) = 114

GCF(57,456,966) x common factors =3 x 114 = 342

LCM(57,456,966) = ( 57 × 456 × 966 ) / 342

LCM(57,456,966) = 25108272 / 342

LCM(57,456,966) = 73416


Lets's calculate GCF of 185,957,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73416/1

Therefore the LCM of Fractions 57/185,456/957,966/395 is 73416

Greatest Common Factor of 185,957,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,957,395 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 185,957,395 . The biggest common factor number is the GCF number.
So the greatest common factor 185,957,395 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 57/185, 456/957, 966/395

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 57/185, 456/957, 966/395?

Answer: LCM of Numerators as per given numbers 57/185, 456/957, 966/395 is

LCM of Numerators i.e. for 57,456,966 is 73416

GCF of denominators i.e. for 185,957,395 is 1.

Thus, LCM of Fractions is 73416.Finally, LCM of Fractions for 57/185, 456/957, 966/395 is 73416.