Least Common Multiple of 42/977, 31/518, 727/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/977, 31/518, 727/142 quickly i.e. 946554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/977, 31/518, 727/142 is 946554.

LCM(42/977, 31/518, 727/142) = 946554

LCM of 42/977, 31/518, 727/142

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 42/977,31/518,727/142

Given numbers are 42/977,31/518,727/142

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 42,31,727

Least Common Multiple of Numerators i.e. LCM of 42,31,727 is 946554.

GCF of Denominators means GCF of 977,518,142 as per the given fractions.

GCF of 977,518,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,31,727

LCM of Fractions 42/977,31/518,727/142 is 946554

Given numbers has no common factors except 1. So, there LCM is their product i.e 946554

Least Common Multiple of 42,31,727 with GCF Formula

Least Common Multiple of 42,31,727 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 42,31,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,31,727) = 1

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

GCF(42,31,727) x common factors =1 x 1 = 1

LCM(42,31,727) = ( 42 × 31 × 727 ) / 1

LCM(42,31,727) = 946554 / 1

LCM(42,31,727) = 946554


Lets's calculate GCF of 977,518,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 946554/1

Therefore the LCM of Fractions 42/977,31/518,727/142 is 946554

Greatest Common Factor of 977,518,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,518,142 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 977,518,142 . The biggest common factor number is the GCF number.
So the greatest common factor 977,518,142 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 42/977, 31/518, 727/142

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 42/977, 31/518, 727/142?

Answer: LCM of Numerators as per given numbers 42/977, 31/518, 727/142 is

LCM of Numerators i.e. for 42,31,727 is 946554

GCF of denominators i.e. for 977,518,142 is 1.

Thus, LCM of Fractions is 946554.Finally, LCM of Fractions for 42/977, 31/518, 727/142 is 946554.