Least Common Multiple of 72/306, 5225/6761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/306, 5225/6761 quickly i.e. 376200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/306, 5225/6761 is 376200.

LCM(72/306, 5225/6761) = 376200

LCM of 72/306, 5225/6761

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 72/306,5225/6761

Given numbers are 72/306,5225/6761

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 72,5225

Least Common Multiple of Numerators i.e. LCM of 72,5225 is 376200.

GCF of Denominators means GCF of 306,6761 as per the given fractions.

GCF of 306,6761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,5225

LCM of Fractions 72/306,5225/6761 is 376200

Given numbers has no common factors except 1. So, there LCM is their product i.e 376200

Least Common Multiple of 72,5225 with GCF Formula

Least Common Multiple of 72,5225 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 72,5225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,5225) = 1

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

GCF(72,5225) x common factors =1 x 1 = 1

LCM(72,5225) = ( 72 × 5225 ) / 1

LCM(72,5225) = 376200 / 1

LCM(72,5225) = 376200


Lets's calculate GCF of 306,6761

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376200/1

Therefore the LCM of Fractions 72/306,5225/6761 is 376200

Greatest Common Factor of 306,6761 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,6761 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 6761

List of positive integer factors of 6761 that divides 6761 without a remainder.

1,6761

Greatest Common Factor

We found the factors 306,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 306,6761 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/306, 5225/6761

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 72/306, 5225/6761?

Answer: LCM of Numerators as per given numbers 72/306, 5225/6761 is

LCM of Numerators i.e. for 72,5225 is 376200

GCF of denominators i.e. for 306,6761 is 1.

Thus, LCM of Fractions is 376200.Finally, LCM of Fractions for 72/306, 5225/6761 is 376200.