Least Common Multiple of 64/52, 39/32, 522/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/52, 39/32, 522/375 quickly i.e. 217152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/52, 39/32, 522/375 is 217152.

LCM(64/52, 39/32, 522/375) = 217152

LCM of 64/52, 39/32, 522/375

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 64/52,39/32,522/375

Given numbers are 64/52,39/32,522/375

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 64,39,522

Least Common Multiple of Numerators i.e. LCM of 64,39,522 is 217152.

GCF of Denominators means GCF of 52,32,375 as per the given fractions.

GCF of 52,32,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,39,522

LCM of Fractions 64/52,39/32,522/375 is 217152

2 64, 39, 522
3 32, 39, 261
32, 13, 87

∴ So the LCM of the given numbers is 2 x 3 x 32 x 13 x 87 = 217152

Least Common Multiple of 64,39,522 with GCF Formula

Least Common Multiple of 64,39,522 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 64,39,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,39,522) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(64,39,522) x common factors =1 x 6 = 6

LCM(64,39,522) = ( 64 × 39 × 522 ) / 6

LCM(64,39,522) = 1302912 / 6

LCM(64,39,522) = 217152


Lets's calculate GCF of 52,32,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217152/1

Therefore the LCM of Fractions 64/52,39/32,522/375 is 217152

Greatest Common Factor of 52,32,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,32,375 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 52,32,375 . The biggest common factor number is the GCF number.
So the greatest common factor 52,32,375 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 64/52, 39/32, 522/375

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 64/52, 39/32, 522/375?

Answer: LCM of Numerators as per given numbers 64/52, 39/32, 522/375 is

LCM of Numerators i.e. for 64,39,522 is 217152

GCF of denominators i.e. for 52,32,375 is 1.

Thus, LCM of Fractions is 217152.Finally, LCM of Fractions for 64/52, 39/32, 522/375 is 217152.