Least Common Multiple of 32/22, 32/64, 53/60, 39/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/22, 32/64, 53/60, 39/525 quickly i.e. 66144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/22, 32/64, 53/60, 39/525 is 66144.

LCM(32/22, 32/64, 53/60, 39/525) = 66144

LCM of 32/22, 32/64, 53/60, 39/525

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 32/22,32/64,53/60,39/525

Given numbers are 32/22,32/64,53/60,39/525

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 32,32,53,39

Least Common Multiple of Numerators i.e. LCM of 32,32,53,39 is 66144.

GCF of Denominators means GCF of 22,64,60,525 as per the given fractions.

GCF of 22,64,60,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,32,53,39

LCM of Fractions 32/22,32/64,53/60,39/525 is 66144

2 32, 32, 53, 39
2 16, 16, 53, 39
2 8, 8, 53, 39
2 4, 4, 53, 39
2 2, 2, 53, 39
1, 1, 53, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 1 x 53 x 39 = 66144

Least Common Multiple of 32,32,53,39 with GCF Formula

Least Common Multiple of 32,32,53,39 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 32,32,53,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,32,53,39) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(32,32,53,39) x common factors =1 x 32 = 32

LCM(32,32,53,39) = ( 32 × 32 × 53 × 39 ) / 32

LCM(32,32,53,39) = 2116608 / 32

LCM(32,32,53,39) = 66144


Lets's calculate GCF of 22,64,60,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66144/1

Therefore the LCM of Fractions 32/22,32/64,53/60,39/525 is 66144

Greatest Common Factor of 22,64,60,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,64,60,525 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 22,64,60,525 . The biggest common factor number is the GCF number.
So the greatest common factor 22,64,60,525 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 32/22, 32/64, 53/60, 39/525

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 32/22, 32/64, 53/60, 39/525?

Answer: LCM of Numerators as per given numbers 32/22, 32/64, 53/60, 39/525 is

LCM of Numerators i.e. for 32,32,53,39 is 66144

GCF of denominators i.e. for 22,64,60,525 is 1.

Thus, LCM of Fractions is 66144.Finally, LCM of Fractions for 32/22, 32/64, 53/60, 39/525 is 66144.