Least Common Multiple of 82/43, 181/63, 502/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/43, 181/63, 502/735 quickly i.e. 3725342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/43, 181/63, 502/735 is 3725342.

LCM(82/43, 181/63, 502/735) = 3725342

LCM of 82/43, 181/63, 502/735

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 82/43,181/63,502/735

Given numbers are 82/43,181/63,502/735

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 82,181,502

Least Common Multiple of Numerators i.e. LCM of 82,181,502 is 3725342.

GCF of Denominators means GCF of 43,63,735 as per the given fractions.

GCF of 43,63,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,181,502

LCM of Fractions 82/43,181/63,502/735 is 3725342

2 82, 181, 502
41, 181, 251

∴ So the LCM of the given numbers is 2 x 41 x 181 x 251 = 3725342

Least Common Multiple of 82,181,502 with GCF Formula

Least Common Multiple of 82,181,502 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 82,181,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,181,502) = 1

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

GCF(82,181,502) x common factors =1 x 2 = 2

LCM(82,181,502) = ( 82 × 181 × 502 ) / 2

LCM(82,181,502) = 7450684 / 2

LCM(82,181,502) = 3725342


Lets's calculate GCF of 43,63,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3725342/1

Therefore the LCM of Fractions 82/43,181/63,502/735 is 3725342

Greatest Common Factor of 43,63,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,63,735 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 43,63,735 . The biggest common factor number is the GCF number.
So the greatest common factor 43,63,735 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 82/43, 181/63, 502/735

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 82/43, 181/63, 502/735?

Answer: LCM of Numerators as per given numbers 82/43, 181/63, 502/735 is

LCM of Numerators i.e. for 82,181,502 is 3725342

GCF of denominators i.e. for 43,63,735 is 1.

Thus, LCM of Fractions is 3725342.Finally, LCM of Fractions for 82/43, 181/63, 502/735 is 3725342.