Least Common Multiple of 532/83, 647/91, 342/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/83, 647/91, 342/825 quickly i.e. 3097836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/83, 647/91, 342/825 is 3097836.

LCM(532/83, 647/91, 342/825) = 3097836

LCM of 532/83, 647/91, 342/825

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 532/83,647/91,342/825

Given numbers are 532/83,647/91,342/825

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 532,647,342

Least Common Multiple of Numerators i.e. LCM of 532,647,342 is 3097836.

GCF of Denominators means GCF of 83,91,825 as per the given fractions.

GCF of 83,91,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,647,342

LCM of Fractions 532/83,647/91,342/825 is 3097836

2 532, 647, 342
19 266, 647, 171
14, 647, 9

∴ So the LCM of the given numbers is 2 x 19 x 14 x 647 x 9 = 3097836

Least Common Multiple of 532,647,342 with GCF Formula

Least Common Multiple of 532,647,342 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 532,647,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,647,342) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(532,647,342) x common factors =1 x 38 = 38

LCM(532,647,342) = ( 532 × 647 × 342 ) / 38

LCM(532,647,342) = 117717768 / 38

LCM(532,647,342) = 3097836


Lets's calculate GCF of 83,91,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3097836/1

Therefore the LCM of Fractions 532/83,647/91,342/825 is 3097836

Greatest Common Factor of 83,91,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,91,825 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 83,91,825 . The biggest common factor number is the GCF number.
So the greatest common factor 83,91,825 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 532/83, 647/91, 342/825

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 532/83, 647/91, 342/825?

Answer: LCM of Numerators as per given numbers 532/83, 647/91, 342/825 is

LCM of Numerators i.e. for 532,647,342 is 3097836

GCF of denominators i.e. for 83,91,825 is 1.

Thus, LCM of Fractions is 3097836.Finally, LCM of Fractions for 532/83, 647/91, 342/825 is 3097836.