Least Common Multiple of 61/36, 41/30, 39/26, 21/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/36, 41/30, 39/26, 21/307 quickly i.e. 682773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/36, 41/30, 39/26, 21/307 is 682773.

LCM(61/36, 41/30, 39/26, 21/307) = 682773

LCM of 61/36, 41/30, 39/26, 21/307

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 61/36,41/30,39/26,21/307

Given numbers are 61/36,41/30,39/26,21/307

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 61,41,39,21

Least Common Multiple of Numerators i.e. LCM of 61,41,39,21 is 682773.

GCF of Denominators means GCF of 36,30,26,307 as per the given fractions.

GCF of 36,30,26,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,41,39,21

LCM of Fractions 61/36,41/30,39/26,21/307 is 682773

3 61, 41, 39, 21
61, 41, 13, 7

∴ So the LCM of the given numbers is 3 x 61 x 41 x 13 x 7 = 682773

Least Common Multiple of 61,41,39,21 with GCF Formula

Least Common Multiple of 61,41,39,21 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 61,41,39,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,41,39,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,41,39,21) x common factors =1 x 3 = 3

LCM(61,41,39,21) = ( 61 × 41 × 39 × 21 ) / 3

LCM(61,41,39,21) = 2048319 / 3

LCM(61,41,39,21) = 682773


Lets's calculate GCF of 36,30,26,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 682773/1

Therefore the LCM of Fractions 61/36,41/30,39/26,21/307 is 682773

Greatest Common Factor of 36,30,26,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,30,26,307 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 36,30,26,307 . The biggest common factor number is the GCF number.
So the greatest common factor 36,30,26,307 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 61/36, 41/30, 39/26, 21/307

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 61/36, 41/30, 39/26, 21/307?

Answer: LCM of Numerators as per given numbers 61/36, 41/30, 39/26, 21/307 is

LCM of Numerators i.e. for 61,41,39,21 is 682773

GCF of denominators i.e. for 36,30,26,307 is 1.

Thus, LCM of Fractions is 682773.Finally, LCM of Fractions for 61/36, 41/30, 39/26, 21/307 is 682773.