Least Common Multiple of 76/531, 1382/2935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/531, 1382/2935 quickly i.e. 52516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/531, 1382/2935 is 52516.

LCM(76/531, 1382/2935) = 52516

LCM of 76/531, 1382/2935

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 76/531,1382/2935

Given numbers are 76/531,1382/2935

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 76,1382

Least Common Multiple of Numerators i.e. LCM of 76,1382 is 52516.

GCF of Denominators means GCF of 531,2935 as per the given fractions.

GCF of 531,2935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,1382

LCM of Fractions 76/531,1382/2935 is 52516

2 76, 1382
38, 691

∴ So the LCM of the given numbers is 2 x 38 x 691 = 52516

Least Common Multiple of 76,1382 with GCF Formula

Least Common Multiple of 76,1382 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 76,1382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,1382) = 2

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

GCF(76,1382) x common factors =2 x 1 = 2

LCM(76,1382) = ( 76 × 1382 ) / 2

LCM(76,1382) = 105032 / 2

LCM(76,1382) = 52516


Lets's calculate GCF of 531,2935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52516/1

Therefore the LCM of Fractions 76/531,1382/2935 is 52516

Greatest Common Factor of 531,2935 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,2935 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 2935

List of positive integer factors of 2935 that divides 2935 without a remainder.

1,5,587,2935

Greatest Common Factor

We found the factors 531,2935 . The biggest common factor number is the GCF number.
So the greatest common factor 531,2935 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 76/531, 1382/2935

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 76/531, 1382/2935?

Answer: LCM of Numerators as per given numbers 76/531, 1382/2935 is

LCM of Numerators i.e. for 76,1382 is 52516

GCF of denominators i.e. for 531,2935 is 1.

Thus, LCM of Fractions is 52516.Finally, LCM of Fractions for 76/531, 1382/2935 is 52516.