Least Common Multiple of 768/72, 221/9608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/72, 221/9608 quickly i.e. 21216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/72, 221/9608 is 21216.

LCM(768/72, 221/9608) = 21216

LCM of 768/72, 221/9608

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 768/72,221/9608

Given numbers are 768/72,221/9608

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 768,221

Least Common Multiple of Numerators i.e. LCM of 768,221 is 169728.

GCF of Denominators means GCF of 72,9608 as per the given fractions.

GCF of 72,9608 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,221

LCM of Fractions 768/72,221/9608 is 21216

Given numbers has no common factors except 1. So, there LCM is their product i.e 169728

Least Common Multiple of 768,221 with GCF Formula

Least Common Multiple of 768,221 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 768,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,221) = 1

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

GCF(768,221) x common factors =1 x 1 = 1

LCM(768,221) = ( 768 × 221 ) / 1

LCM(768,221) = 169728 / 1

LCM(768,221) = 169728


Lets's calculate GCF of 72,9608

2 72, 9608
2 36, 4804
2 18, 2402
9, 1201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169728/8

Therefore the LCM of Fractions 768/72,221/9608 is 21216

Greatest Common Factor of 72,9608 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,9608 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 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1,2,4,8,1201,2402,4804,9608

Greatest Common Factor

We found the factors 72,9608 . The biggest common factor number is the GCF number.
So the greatest common factor 72,9608 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 768/72, 221/9608

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 768/72, 221/9608?

Answer: LCM of Numerators as per given numbers 768/72, 221/9608 is

LCM of Numerators i.e. for 768,221 is 169728

GCF of denominators i.e. for 72,9608 is 8.

Thus, LCM of Fractions is 21216.Finally, LCM of Fractions for 768/72, 221/9608 is 21216.