Least Common Multiple of 60/64, 53/72, 39/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/64, 53/72, 39/664 quickly i.e. 41340/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/64, 53/72, 39/664 is 41340/8.

LCM(60/64, 53/72, 39/664) = 41340/8

LCM of 60/64, 53/72, 39/664

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 60/64,53/72,39/664

Given numbers are 60/64,53/72,39/664

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 60,53,39

Least Common Multiple of Numerators i.e. LCM of 60,53,39 is 41340.

GCF of Denominators means GCF of 64,72,664 as per the given fractions.

GCF of 64,72,664 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,53,39

LCM of Fractions 60/64,53/72,39/664 is 41340/8

3 60, 53, 39
20, 53, 13

∴ So the LCM of the given numbers is 3 x 20 x 53 x 13 = 41340

Least Common Multiple of 60,53,39 with GCF Formula

Least Common Multiple of 60,53,39 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 60,53,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,53,39) = 1

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

GCF(60,53,39) x common factors =1 x 3 = 3

LCM(60,53,39) = ( 60 × 53 × 39 ) / 3

LCM(60,53,39) = 124020 / 3

LCM(60,53,39) = 41340


Lets's calculate GCF of 64,72,664

2 64, 72, 664
2 32, 36, 332
2 16, 18, 166
8, 9, 83

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41340/8

Therefore the LCM of Fractions 60/64,53/72,39/664 is 41340/8

Greatest Common Factor of 64,72,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,72,664 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 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 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 64,72,664 . The biggest common factor number is the GCF number.
So the greatest common factor 64,72,664 is 8.


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 60/64, 53/72, 39/664

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 60/64, 53/72, 39/664?

Answer: LCM of Numerators as per given numbers 60/64, 53/72, 39/664 is

LCM of Numerators i.e. for 60,53,39 is 41340

GCF of denominators i.e. for 64,72,664 is 8.

Thus, LCM of Fractions is 41340/8.Finally, LCM of Fractions for 60/64, 53/72, 39/664 is 41340/8.