Least Common Multiple of 42/85, 31/57, 576/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/85, 31/57, 576/617 quickly i.e. 124992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/85, 31/57, 576/617 is 124992.

LCM(42/85, 31/57, 576/617) = 124992

LCM of 42/85, 31/57, 576/617

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 42/85,31/57,576/617

Given numbers are 42/85,31/57,576/617

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 42,31,576

Least Common Multiple of Numerators i.e. LCM of 42,31,576 is 124992.

GCF of Denominators means GCF of 85,57,617 as per the given fractions.

GCF of 85,57,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,31,576

LCM of Fractions 42/85,31/57,576/617 is 124992

2 42, 31, 576
3 21, 31, 288
7, 31, 96

∴ So the LCM of the given numbers is 2 x 3 x 7 x 31 x 96 = 124992

Least Common Multiple of 42,31,576 with GCF Formula

Least Common Multiple of 42,31,576 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 42,31,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,31,576) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,31,576) x common factors =1 x 6 = 6

LCM(42,31,576) = ( 42 × 31 × 576 ) / 6

LCM(42,31,576) = 749952 / 6

LCM(42,31,576) = 124992


Lets's calculate GCF of 85,57,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124992/1

Therefore the LCM of Fractions 42/85,31/57,576/617 is 124992

Greatest Common Factor of 85,57,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,57,617 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 85,57,617 . The biggest common factor number is the GCF number.
So the greatest common factor 85,57,617 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 42/85, 31/57, 576/617

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 42/85, 31/57, 576/617?

Answer: LCM of Numerators as per given numbers 42/85, 31/57, 576/617 is

LCM of Numerators i.e. for 42,31,576 is 124992

GCF of denominators i.e. for 85,57,617 is 1.

Thus, LCM of Fractions is 124992.Finally, LCM of Fractions for 42/85, 31/57, 576/617 is 124992.