Least Common Multiple of 519/356, 964/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 519/356, 964/481 quickly i.e. 500316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/356, 964/481 is 500316.

LCM(519/356, 964/481) = 500316

LCM of 519/356, 964/481

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 519/356,964/481

Given numbers are 519/356,964/481

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 519,964

Least Common Multiple of Numerators i.e. LCM of 519,964 is 500316.

GCF of Denominators means GCF of 356,481 as per the given fractions.

GCF of 356,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,964

LCM of Fractions 519/356,964/481 is 500316

Given numbers has no common factors except 1. So, there LCM is their product i.e 500316

Least Common Multiple of 519,964 with GCF Formula

Least Common Multiple of 519,964 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 519,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,964) = 1

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

GCF(519,964) x common factors =1 x 1 = 1

LCM(519,964) = ( 519 × 964 ) / 1

LCM(519,964) = 500316 / 1

LCM(519,964) = 500316


Lets's calculate GCF of 356,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500316/1

Therefore the LCM of Fractions 519/356,964/481 is 500316

Greatest Common Factor of 356,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,481 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 356,481 . The biggest common factor number is the GCF number.
So the greatest common factor 356,481 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 519/356, 964/481

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 519/356, 964/481?

Answer: LCM of Numerators as per given numbers 519/356, 964/481 is

LCM of Numerators i.e. for 519,964 is 500316

GCF of denominators i.e. for 356,481 is 1.

Thus, LCM of Fractions is 500316.Finally, LCM of Fractions for 519/356, 964/481 is 500316.