Least Common Multiple of 531/715, 103/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/715, 103/299 quickly i.e. 54693/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/715, 103/299 is 54693/13.

LCM(531/715, 103/299) = 54693/13

LCM of 531/715, 103/299

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 531/715,103/299

Given numbers are 531/715,103/299

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 531,103

Least Common Multiple of Numerators i.e. LCM of 531,103 is 54693.

GCF of Denominators means GCF of 715,299 as per the given fractions.

GCF of 715,299 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,103

LCM of Fractions 531/715,103/299 is 54693/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 54693

Least Common Multiple of 531,103 with GCF Formula

Least Common Multiple of 531,103 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 531,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,103) = 1

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

GCF(531,103) x common factors =1 x 1 = 1

LCM(531,103) = ( 531 × 103 ) / 1

LCM(531,103) = 54693 / 1

LCM(531,103) = 54693


Lets's calculate GCF of 715,299

13 715, 299
55, 23

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54693/13

Therefore the LCM of Fractions 531/715,103/299 is 54693/13

Greatest Common Factor of 715,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,299 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 715,299 . The biggest common factor number is the GCF number.
So the greatest common factor 715,299 is 13.


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 531/715, 103/299

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 531/715, 103/299?

Answer: LCM of Numerators as per given numbers 531/715, 103/299 is

LCM of Numerators i.e. for 531,103 is 54693

GCF of denominators i.e. for 715,299 is 13.

Thus, LCM of Fractions is 54693/13.Finally, LCM of Fractions for 531/715, 103/299 is 54693/13.