Least Common Multiple of 39/64, 36/30, 56/20, 74/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/64, 36/30, 56/20, 74/235 quickly i.e. 242424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/64, 36/30, 56/20, 74/235 is 242424.

LCM(39/64, 36/30, 56/20, 74/235) = 242424

LCM of 39/64, 36/30, 56/20, 74/235

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 39/64,36/30,56/20,74/235

Given numbers are 39/64,36/30,56/20,74/235

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 39,36,56,74

Least Common Multiple of Numerators i.e. LCM of 39,36,56,74 is 242424.

GCF of Denominators means GCF of 64,30,20,235 as per the given fractions.

GCF of 64,30,20,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,36,56,74

LCM of Fractions 39/64,36/30,56/20,74/235 is 242424

2 39, 36, 56, 74
2 39, 18, 28, 37
3 39, 9, 14, 37
13, 3, 14, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 3 x 14 x 37 = 242424

Least Common Multiple of 39,36,56,74 with GCF Formula

Least Common Multiple of 39,36,56,74 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 39,36,56,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,36,56,74) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(39,36,56,74) x common factors =1 x 24 = 24

LCM(39,36,56,74) = ( 39 × 36 × 56 × 74 ) / 24

LCM(39,36,56,74) = 5818176 / 24

LCM(39,36,56,74) = 242424


Lets's calculate GCF of 64,30,20,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242424/1

Therefore the LCM of Fractions 39/64,36/30,56/20,74/235 is 242424

Greatest Common Factor of 64,30,20,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,30,20,235 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 64,30,20,235 . The biggest common factor number is the GCF number.
So the greatest common factor 64,30,20,235 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 39/64, 36/30, 56/20, 74/235

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 39/64, 36/30, 56/20, 74/235?

Answer: LCM of Numerators as per given numbers 39/64, 36/30, 56/20, 74/235 is

LCM of Numerators i.e. for 39,36,56,74 is 242424

GCF of denominators i.e. for 64,30,20,235 is 1.

Thus, LCM of Fractions is 242424.Finally, LCM of Fractions for 39/64, 36/30, 56/20, 74/235 is 242424.