Least Common Multiple of 264/522, 481/147, 681/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/522, 481/147, 681/314 quickly i.e. 28825368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/522, 481/147, 681/314 is 28825368.

LCM(264/522, 481/147, 681/314) = 28825368

LCM of 264/522, 481/147, 681/314

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 264/522,481/147,681/314

Given numbers are 264/522,481/147,681/314

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 264,481,681

Least Common Multiple of Numerators i.e. LCM of 264,481,681 is 28825368.

GCF of Denominators means GCF of 522,147,314 as per the given fractions.

GCF of 522,147,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,481,681

LCM of Fractions 264/522,481/147,681/314 is 28825368

3 264, 481, 681
88, 481, 227

∴ So the LCM of the given numbers is 3 x 88 x 481 x 227 = 28825368

Least Common Multiple of 264,481,681 with GCF Formula

Least Common Multiple of 264,481,681 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 264,481,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,481,681) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(264,481,681) x common factors =1 x 3 = 3

LCM(264,481,681) = ( 264 × 481 × 681 ) / 3

LCM(264,481,681) = 86476104 / 3

LCM(264,481,681) = 28825368


Lets's calculate GCF of 522,147,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28825368/1

Therefore the LCM of Fractions 264/522,481/147,681/314 is 28825368

Greatest Common Factor of 522,147,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,147,314 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 522,147,314 . The biggest common factor number is the GCF number.
So the greatest common factor 522,147,314 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 264/522, 481/147, 681/314

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 264/522, 481/147, 681/314?

Answer: LCM of Numerators as per given numbers 264/522, 481/147, 681/314 is

LCM of Numerators i.e. for 264,481,681 is 28825368

GCF of denominators i.e. for 522,147,314 is 1.

Thus, LCM of Fractions is 28825368.Finally, LCM of Fractions for 264/522, 481/147, 681/314 is 28825368.