Least Common Multiple of 5656/72, 1545/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5656/72, 1545/768 quickly i.e. 364105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5656/72, 1545/768 is 364105.

LCM(5656/72, 1545/768) = 364105

LCM of 5656/72, 1545/768

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 5656/72,1545/768

Given numbers are 5656/72,1545/768

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 5656,1545

Least Common Multiple of Numerators i.e. LCM of 5656,1545 is 8738520.

GCF of Denominators means GCF of 72,768 as per the given fractions.

GCF of 72,768 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5656,1545

LCM of Fractions 5656/72,1545/768 is 364105

Given numbers has no common factors except 1. So, there LCM is their product i.e 8738520

Least Common Multiple of 5656,1545 with GCF Formula

Least Common Multiple of 5656,1545 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 5656,1545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5656,1545) = 1

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

GCF(5656,1545) x common factors =1 x 1 = 1

LCM(5656,1545) = ( 5656 × 1545 ) / 1

LCM(5656,1545) = 8738520 / 1

LCM(5656,1545) = 8738520


Lets's calculate GCF of 72,768

2 72, 768
2 36, 384
2 18, 192
3 9, 96
3, 32

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8738520/24

Therefore the LCM of Fractions 5656/72,1545/768 is 364105

Greatest Common Factor of 72,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,768 By Matching Biggest Common Factor Method

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 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 72,768 . The biggest common factor number is the GCF number.
So the greatest common factor 72,768 is 24.


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 5656/72, 1545/768

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 5656/72, 1545/768?

Answer: LCM of Numerators as per given numbers 5656/72, 1545/768 is

LCM of Numerators i.e. for 5656,1545 is 8738520

GCF of denominators i.e. for 72,768 is 24.

Thus, LCM of Fractions is 364105.Finally, LCM of Fractions for 5656/72, 1545/768 is 364105.