Least Common Multiple of 21/42, 792/30, 217/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/42, 792/30, 217/586 quickly i.e. 85932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/42, 792/30, 217/586 is 85932.

LCM(21/42, 792/30, 217/586) = 85932

LCM of 21/42, 792/30, 217/586

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 21/42,792/30,217/586

Given numbers are 21/42,792/30,217/586

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 21,792,217

Least Common Multiple of Numerators i.e. LCM of 21,792,217 is 171864.

GCF of Denominators means GCF of 42,30,586 as per the given fractions.

GCF of 42,30,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,792,217

LCM of Fractions 21/42,792/30,217/586 is 85932

3 21, 792, 217
7 7, 264, 217
1, 264, 31

∴ So the LCM of the given numbers is 3 x 7 x 1 x 264 x 31 = 171864

Least Common Multiple of 21,792,217 with GCF Formula

Least Common Multiple of 21,792,217 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 21,792,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,792,217) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,792,217) x common factors =1 x 21 = 21

LCM(21,792,217) = ( 21 × 792 × 217 ) / 21

LCM(21,792,217) = 3609144 / 21

LCM(21,792,217) = 171864


Lets's calculate GCF of 42,30,586

2 42, 30, 586
21, 15, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171864/2

Therefore the LCM of Fractions 21/42,792/30,217/586 is 85932

Greatest Common Factor of 42,30,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,30,586 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 42,30,586 . The biggest common factor number is the GCF number.
So the greatest common factor 42,30,586 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 21/42, 792/30, 217/586

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 21/42, 792/30, 217/586?

Answer: LCM of Numerators as per given numbers 21/42, 792/30, 217/586 is

LCM of Numerators i.e. for 21,792,217 is 171864

GCF of denominators i.e. for 42,30,586 is 2.

Thus, LCM of Fractions is 85932.Finally, LCM of Fractions for 21/42, 792/30, 217/586 is 85932.