Least Common Multiple of 513/399, 763/856, 797/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/399, 763/856, 797/918 quickly i.e. 311960943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/399, 763/856, 797/918 is 311960943.

LCM(513/399, 763/856, 797/918) = 311960943

LCM of 513/399, 763/856, 797/918

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 513/399,763/856,797/918

Given numbers are 513/399,763/856,797/918

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 513,763,797

Least Common Multiple of Numerators i.e. LCM of 513,763,797 is 311960943.

GCF of Denominators means GCF of 399,856,918 as per the given fractions.

GCF of 399,856,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,763,797

LCM of Fractions 513/399,763/856,797/918 is 311960943

Given numbers has no common factors except 1. So, there LCM is their product i.e 311960943

Least Common Multiple of 513,763,797 with GCF Formula

Least Common Multiple of 513,763,797 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 513,763,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,763,797) = 1

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

GCF(513,763,797) x common factors =1 x 1 = 1

LCM(513,763,797) = ( 513 × 763 × 797 ) / 1

LCM(513,763,797) = 311960943 / 1

LCM(513,763,797) = 311960943


Lets's calculate GCF of 399,856,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311960943/1

Therefore the LCM of Fractions 513/399,763/856,797/918 is 311960943

Greatest Common Factor of 399,856,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,856,918 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 399,856,918 . The biggest common factor number is the GCF number.
So the greatest common factor 399,856,918 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 513/399, 763/856, 797/918

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 513/399, 763/856, 797/918?

Answer: LCM of Numerators as per given numbers 513/399, 763/856, 797/918 is

LCM of Numerators i.e. for 513,763,797 is 311960943

GCF of denominators i.e. for 399,856,918 is 1.

Thus, LCM of Fractions is 311960943.Finally, LCM of Fractions for 513/399, 763/856, 797/918 is 311960943.