Least Common Multiple of 306/538, 722/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/538, 722/371 quickly i.e. 110466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/538, 722/371 is 110466.

LCM(306/538, 722/371) = 110466

LCM of 306/538, 722/371

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 306/538,722/371

Given numbers are 306/538,722/371

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 306,722

Least Common Multiple of Numerators i.e. LCM of 306,722 is 110466.

GCF of Denominators means GCF of 538,371 as per the given fractions.

GCF of 538,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,722

LCM of Fractions 306/538,722/371 is 110466

2 306, 722
153, 361

∴ So the LCM of the given numbers is 2 x 153 x 361 = 110466

Least Common Multiple of 306,722 with GCF Formula

Least Common Multiple of 306,722 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 306,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,722) = 2

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

GCF(306,722) x common factors =2 x 1 = 2

LCM(306,722) = ( 306 × 722 ) / 2

LCM(306,722) = 220932 / 2

LCM(306,722) = 110466


Lets's calculate GCF of 538,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110466/1

Therefore the LCM of Fractions 306/538,722/371 is 110466

Greatest Common Factor of 538,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,371 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 538,371 . The biggest common factor number is the GCF number.
So the greatest common factor 538,371 is 1.


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 306/538, 722/371

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 306/538, 722/371?

Answer: LCM of Numerators as per given numbers 306/538, 722/371 is

LCM of Numerators i.e. for 306,722 is 110466

GCF of denominators i.e. for 538,371 is 1.

Thus, LCM of Fractions is 110466.Finally, LCM of Fractions for 306/538, 722/371 is 110466.