Least Common Multiple of 82/46, 21/54, 634/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/46, 21/54, 634/732 quickly i.e. 272937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/46, 21/54, 634/732 is 272937.

LCM(82/46, 21/54, 634/732) = 272937

LCM of 82/46, 21/54, 634/732

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 82/46,21/54,634/732

Given numbers are 82/46,21/54,634/732

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 82,21,634

Least Common Multiple of Numerators i.e. LCM of 82,21,634 is 545874.

GCF of Denominators means GCF of 46,54,732 as per the given fractions.

GCF of 46,54,732 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,21,634

LCM of Fractions 82/46,21/54,634/732 is 272937

2 82, 21, 634
41, 21, 317

∴ So the LCM of the given numbers is 2 x 41 x 21 x 317 = 545874

Least Common Multiple of 82,21,634 with GCF Formula

Least Common Multiple of 82,21,634 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 82,21,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,21,634) = 1

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

GCF(82,21,634) x common factors =1 x 2 = 2

LCM(82,21,634) = ( 82 × 21 × 634 ) / 2

LCM(82,21,634) = 1091748 / 2

LCM(82,21,634) = 545874


Lets's calculate GCF of 46,54,732

2 46, 54, 732
23, 27, 366

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545874/2

Therefore the LCM of Fractions 82/46,21/54,634/732 is 272937

Greatest Common Factor of 46,54,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,54,732 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 46,54,732 . The biggest common factor number is the GCF number.
So the greatest common factor 46,54,732 is 2.


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 82/46, 21/54, 634/732

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 82/46, 21/54, 634/732?

Answer: LCM of Numerators as per given numbers 82/46, 21/54, 634/732 is

LCM of Numerators i.e. for 82,21,634 is 545874

GCF of denominators i.e. for 46,54,732 is 2.

Thus, LCM of Fractions is 272937.Finally, LCM of Fractions for 82/46, 21/54, 634/732 is 272937.