Least Common Multiple of 42/61, 82/51, 31/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/61, 82/51, 31/513 quickly i.e. 53382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/61, 82/51, 31/513 is 53382.

LCM(42/61, 82/51, 31/513) = 53382

LCM of 42/61, 82/51, 31/513

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 42/61,82/51,31/513

Given numbers are 42/61,82/51,31/513

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 42,82,31

Least Common Multiple of Numerators i.e. LCM of 42,82,31 is 53382.

GCF of Denominators means GCF of 61,51,513 as per the given fractions.

GCF of 61,51,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,82,31

LCM of Fractions 42/61,82/51,31/513 is 53382

2 42, 82, 31
21, 41, 31

∴ So the LCM of the given numbers is 2 x 21 x 41 x 31 = 53382

Least Common Multiple of 42,82,31 with GCF Formula

Least Common Multiple of 42,82,31 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 42,82,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,82,31) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,82,31) x common factors =1 x 2 = 2

LCM(42,82,31) = ( 42 × 82 × 31 ) / 2

LCM(42,82,31) = 106764 / 2

LCM(42,82,31) = 53382


Lets's calculate GCF of 61,51,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53382/1

Therefore the LCM of Fractions 42/61,82/51,31/513 is 53382

Greatest Common Factor of 61,51,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,51,513 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 61,51,513 . The biggest common factor number is the GCF number.
So the greatest common factor 61,51,513 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 42/61, 82/51, 31/513

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 42/61, 82/51, 31/513?

Answer: LCM of Numerators as per given numbers 42/61, 82/51, 31/513 is

LCM of Numerators i.e. for 42,82,31 is 53382

GCF of denominators i.e. for 61,51,513 is 1.

Thus, LCM of Fractions is 53382.Finally, LCM of Fractions for 42/61, 82/51, 31/513 is 53382.