Least Common Multiple of 60/41, 20/72, 49/86, 21/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/41, 20/72, 49/86, 21/616 quickly i.e. 2940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/41, 20/72, 49/86, 21/616 is 2940.

LCM(60/41, 20/72, 49/86, 21/616) = 2940

LCM of 60/41, 20/72, 49/86, 21/616

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 60/41,20/72,49/86,21/616

Given numbers are 60/41,20/72,49/86,21/616

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 60,20,49,21

Least Common Multiple of Numerators i.e. LCM of 60,20,49,21 is 2940.

GCF of Denominators means GCF of 41,72,86,616 as per the given fractions.

GCF of 41,72,86,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,20,49,21

LCM of Fractions 60/41,20/72,49/86,21/616 is 2940

2 60, 20, 49, 21
2 30, 10, 49, 21
3 15, 5, 49, 21
5 5, 5, 49, 7
7 1, 1, 49, 7
1, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 1 x 1 x 7 = 2940

Least Common Multiple of 60,20,49,21 with GCF Formula

Least Common Multiple of 60,20,49,21 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 60,20,49,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,20,49,21) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(60,20,49,21) x common factors =1 x 420 = 420

LCM(60,20,49,21) = ( 60 × 20 × 49 × 21 ) / 420

LCM(60,20,49,21) = 1234800 / 420

LCM(60,20,49,21) = 2940


Lets's calculate GCF of 41,72,86,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2940/1

Therefore the LCM of Fractions 60/41,20/72,49/86,21/616 is 2940

Greatest Common Factor of 41,72,86,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,72,86,616 By Matching Biggest Common Factor Method

Factors of 41

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

1,41

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 41,72,86,616 . The biggest common factor number is the GCF number.
So the greatest common factor 41,72,86,616 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 60/41, 20/72, 49/86, 21/616

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 60/41, 20/72, 49/86, 21/616?

Answer: LCM of Numerators as per given numbers 60/41, 20/72, 49/86, 21/616 is

LCM of Numerators i.e. for 60,20,49,21 is 2940

GCF of denominators i.e. for 41,72,86,616 is 1.

Thus, LCM of Fractions is 2940.Finally, LCM of Fractions for 60/41, 20/72, 49/86, 21/616 is 2940.