Least Common Multiple of 720/66, 548/8282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/66, 548/8282 quickly i.e. 49320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/66, 548/8282 is 49320.

LCM(720/66, 548/8282) = 49320

LCM of 720/66, 548/8282

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 720/66,548/8282

Given numbers are 720/66,548/8282

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 720,548

Least Common Multiple of Numerators i.e. LCM of 720,548 is 98640.

GCF of Denominators means GCF of 66,8282 as per the given fractions.

GCF of 66,8282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,548

LCM of Fractions 720/66,548/8282 is 49320

2 720, 548
2 360, 274
180, 137

∴ So the LCM of the given numbers is 2 x 2 x 180 x 137 = 98640

Least Common Multiple of 720,548 with GCF Formula

Least Common Multiple of 720,548 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 720,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,548) = 4

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

GCF(720,548) x common factors =4 x 1 = 4

LCM(720,548) = ( 720 × 548 ) / 4

LCM(720,548) = 394560 / 4

LCM(720,548) = 98640


Lets's calculate GCF of 66,8282

2 66, 8282
33, 4141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98640/2

Therefore the LCM of Fractions 720/66,548/8282 is 49320

Greatest Common Factor of 66,8282 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,8282 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1,2,41,82,101,202,4141,8282

Greatest Common Factor

We found the factors 66,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8282 is 2.


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 720/66, 548/8282

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 720/66, 548/8282?

Answer: LCM of Numerators as per given numbers 720/66, 548/8282 is

LCM of Numerators i.e. for 720,548 is 98640

GCF of denominators i.e. for 66,8282 is 2.

Thus, LCM of Fractions is 49320.Finally, LCM of Fractions for 720/66, 548/8282 is 49320.