Least Common Multiple of 83/291, 32/980, 524/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/291, 32/980, 524/400 quickly i.e. 347936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/291, 32/980, 524/400 is 347936.

LCM(83/291, 32/980, 524/400) = 347936

LCM of 83/291, 32/980, 524/400

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 83/291,32/980,524/400

Given numbers are 83/291,32/980,524/400

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 83,32,524

Least Common Multiple of Numerators i.e. LCM of 83,32,524 is 347936.

GCF of Denominators means GCF of 291,980,400 as per the given fractions.

GCF of 291,980,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,32,524

LCM of Fractions 83/291,32/980,524/400 is 347936

2 83, 32, 524
2 83, 16, 262
83, 8, 131

∴ So the LCM of the given numbers is 2 x 2 x 83 x 8 x 131 = 347936

Least Common Multiple of 83,32,524 with GCF Formula

Least Common Multiple of 83,32,524 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 83,32,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,32,524) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(83,32,524) x common factors =1 x 4 = 4

LCM(83,32,524) = ( 83 × 32 × 524 ) / 4

LCM(83,32,524) = 1391744 / 4

LCM(83,32,524) = 347936


Lets's calculate GCF of 291,980,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347936/1

Therefore the LCM of Fractions 83/291,32/980,524/400 is 347936

Greatest Common Factor of 291,980,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,980,400 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 291,980,400 . The biggest common factor number is the GCF number.
So the greatest common factor 291,980,400 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 83/291, 32/980, 524/400

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 83/291, 32/980, 524/400?

Answer: LCM of Numerators as per given numbers 83/291, 32/980, 524/400 is

LCM of Numerators i.e. for 83,32,524 is 347936

GCF of denominators i.e. for 291,980,400 is 1.

Thus, LCM of Fractions is 347936.Finally, LCM of Fractions for 83/291, 32/980, 524/400 is 347936.