Least Common Multiple of 1/21, 6/96, 86/41, 72/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/21, 6/96, 86/41, 72/563 quickly i.e. 3096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/21, 6/96, 86/41, 72/563 is 3096.

LCM(1/21, 6/96, 86/41, 72/563) = 3096

LCM of 1/21, 6/96, 86/41, 72/563

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 1/21,6/96,86/41,72/563

Given numbers are 1/21,6/96,86/41,72/563

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 1,6,86,72

Least Common Multiple of Numerators i.e. LCM of 1,6,86,72 is 3096.

GCF of Denominators means GCF of 21,96,41,563 as per the given fractions.

GCF of 21,96,41,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,6,86,72

LCM of Fractions 1/21,6/96,86/41,72/563 is 3096

2 1, 6, 86, 72
3 1, 3, 43, 36
1, 1, 43, 12

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 43 x 12 = 3096

Least Common Multiple of 1,6,86,72 with GCF Formula

Least Common Multiple of 1,6,86,72 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 1,6,86,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,6,86,72) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(1,6,86,72) x common factors =1 x 12 = 12

LCM(1,6,86,72) = ( 1 × 6 × 86 × 72 ) / 12

LCM(1,6,86,72) = 37152 / 12

LCM(1,6,86,72) = 3096


Lets's calculate GCF of 21,96,41,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3096/1

Therefore the LCM of Fractions 1/21,6/96,86/41,72/563 is 3096

Greatest Common Factor of 21,96,41,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,96,41,563 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 21,96,41,563 . The biggest common factor number is the GCF number.
So the greatest common factor 21,96,41,563 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 1/21, 6/96, 86/41, 72/563

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 1/21, 6/96, 86/41, 72/563?

Answer: LCM of Numerators as per given numbers 1/21, 6/96, 86/41, 72/563 is

LCM of Numerators i.e. for 1,6,86,72 is 3096

GCF of denominators i.e. for 21,96,41,563 is 1.

Thus, LCM of Fractions is 3096.Finally, LCM of Fractions for 1/21, 6/96, 86/41, 72/563 is 3096.