Least Common Multiple of 264/543, 1519/1717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/543, 1519/1717 quickly i.e. 401016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/543, 1519/1717 is 401016.

LCM(264/543, 1519/1717) = 401016

LCM of 264/543, 1519/1717

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 264/543,1519/1717

Given numbers are 264/543,1519/1717

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 264,1519

Least Common Multiple of Numerators i.e. LCM of 264,1519 is 401016.

GCF of Denominators means GCF of 543,1717 as per the given fractions.

GCF of 543,1717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,1519

LCM of Fractions 264/543,1519/1717 is 401016

Given numbers has no common factors except 1. So, there LCM is their product i.e 401016

Least Common Multiple of 264,1519 with GCF Formula

Least Common Multiple of 264,1519 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 264,1519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,1519) = 1

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

GCF(264,1519) x common factors =1 x 1 = 1

LCM(264,1519) = ( 264 × 1519 ) / 1

LCM(264,1519) = 401016 / 1

LCM(264,1519) = 401016


Lets's calculate GCF of 543,1717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401016/1

Therefore the LCM of Fractions 264/543,1519/1717 is 401016

Greatest Common Factor of 543,1717 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,1717 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1,17,101,1717

Greatest Common Factor

We found the factors 543,1717 . The biggest common factor number is the GCF number.
So the greatest common factor 543,1717 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 264/543, 1519/1717

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 264/543, 1519/1717?

Answer: LCM of Numerators as per given numbers 264/543, 1519/1717 is

LCM of Numerators i.e. for 264,1519 is 401016

GCF of denominators i.e. for 543,1717 is 1.

Thus, LCM of Fractions is 401016.Finally, LCM of Fractions for 264/543, 1519/1717 is 401016.