Least Common Multiple of 285/57, 397/6972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/57, 397/6972 quickly i.e. 37715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/57, 397/6972 is 37715.

LCM(285/57, 397/6972) = 37715

LCM of 285/57, 397/6972

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 285/57,397/6972

Given numbers are 285/57,397/6972

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 285,397

Least Common Multiple of Numerators i.e. LCM of 285,397 is 113145.

GCF of Denominators means GCF of 57,6972 as per the given fractions.

GCF of 57,6972 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,397

LCM of Fractions 285/57,397/6972 is 37715

Given numbers has no common factors except 1. So, there LCM is their product i.e 113145

Least Common Multiple of 285,397 with GCF Formula

Least Common Multiple of 285,397 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 285,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,397) = 1

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

GCF(285,397) x common factors =1 x 1 = 1

LCM(285,397) = ( 285 × 397 ) / 1

LCM(285,397) = 113145 / 1

LCM(285,397) = 113145


Lets's calculate GCF of 57,6972

3 57, 6972
19, 2324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113145/3

Therefore the LCM of Fractions 285/57,397/6972 is 37715

Greatest Common Factor of 57,6972 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,6972 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 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors 57,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 57,6972 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 285/57, 397/6972

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 285/57, 397/6972?

Answer: LCM of Numerators as per given numbers 285/57, 397/6972 is

LCM of Numerators i.e. for 285,397 is 113145

GCF of denominators i.e. for 57,6972 is 3.

Thus, LCM of Fractions is 37715.Finally, LCM of Fractions for 285/57, 397/6972 is 37715.