Least Common Multiple of 64/720, 67/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/720, 67/540 quickly i.e. 4288/180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/720, 67/540 is 4288/180.

LCM(64/720, 67/540) = 4288/180

LCM of 64/720, 67/540

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 64/720,67/540

Given numbers are 64/720,67/540

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 64,67

Least Common Multiple of Numerators i.e. LCM of 64,67 is 4288.

GCF of Denominators means GCF of 720,540 as per the given fractions.

GCF of 720,540 is 180 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,67

LCM of Fractions 64/720,67/540 is 4288/180

Given numbers has no common factors except 1. So, there LCM is their product i.e 4288

Least Common Multiple of 64,67 with GCF Formula

Least Common Multiple of 64,67 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 64,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,67) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(64,67) x common factors =1 x 1 = 1

LCM(64,67) = ( 64 × 67 ) / 1

LCM(64,67) = 4288 / 1

LCM(64,67) = 4288


Lets's calculate GCF of 720,540

2 720, 540
2 360, 270
3 180, 135
3 60, 45
5 20, 15
4, 3

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 5 = 180

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4288/180

Therefore the LCM of Fractions 64/720,67/540 is 4288/180

Greatest Common Factor of 720,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,540 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 720,540 . The biggest common factor number is the GCF number.
So the greatest common factor 720,540 is 180.


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 64/720, 67/540

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 64/720, 67/540?

Answer: LCM of Numerators as per given numbers 64/720, 67/540 is

LCM of Numerators i.e. for 64,67 is 4288

GCF of denominators i.e. for 720,540 is 180.

Thus, LCM of Fractions is 4288/180.Finally, LCM of Fractions for 64/720, 67/540 is 4288/180.