Least Common Multiple of 82/21, 69/524, 384/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/21, 69/524, 384/938 quickly i.e. 362112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/21, 69/524, 384/938 is 362112.

LCM(82/21, 69/524, 384/938) = 362112

LCM of 82/21, 69/524, 384/938

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 82/21,69/524,384/938

Given numbers are 82/21,69/524,384/938

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 82,69,384

Least Common Multiple of Numerators i.e. LCM of 82,69,384 is 362112.

GCF of Denominators means GCF of 21,524,938 as per the given fractions.

GCF of 21,524,938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,69,384

LCM of Fractions 82/21,69/524,384/938 is 362112

2 82, 69, 384
3 41, 69, 192
41, 23, 64

∴ So the LCM of the given numbers is 2 x 3 x 41 x 23 x 64 = 362112

Least Common Multiple of 82,69,384 with GCF Formula

Least Common Multiple of 82,69,384 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 82,69,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,69,384) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,69,384) x common factors =1 x 6 = 6

LCM(82,69,384) = ( 82 × 69 × 384 ) / 6

LCM(82,69,384) = 2172672 / 6

LCM(82,69,384) = 362112


Lets's calculate GCF of 21,524,938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362112/1

Therefore the LCM of Fractions 82/21,69/524,384/938 is 362112

Greatest Common Factor of 21,524,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,524,938 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 21,524,938 . The biggest common factor number is the GCF number.
So the greatest common factor 21,524,938 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 82/21, 69/524, 384/938

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 82/21, 69/524, 384/938?

Answer: LCM of Numerators as per given numbers 82/21, 69/524, 384/938 is

LCM of Numerators i.e. for 82,69,384 is 362112

GCF of denominators i.e. for 21,524,938 is 1.

Thus, LCM of Fractions is 362112.Finally, LCM of Fractions for 82/21, 69/524, 384/938 is 362112.