Least Common Multiple of 27/520, 997/337, 991/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/520, 997/337, 991/812 quickly i.e. 26676729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/520, 997/337, 991/812 is 26676729.

LCM(27/520, 997/337, 991/812) = 26676729

LCM of 27/520, 997/337, 991/812

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 27/520,997/337,991/812

Given numbers are 27/520,997/337,991/812

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 27,997,991

Least Common Multiple of Numerators i.e. LCM of 27,997,991 is 26676729.

GCF of Denominators means GCF of 520,337,812 as per the given fractions.

GCF of 520,337,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,997,991

LCM of Fractions 27/520,997/337,991/812 is 26676729

Given numbers has no common factors except 1. So, there LCM is their product i.e 26676729

Least Common Multiple of 27,997,991 with GCF Formula

Least Common Multiple of 27,997,991 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 27,997,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,997,991) = 1

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

GCF(27,997,991) x common factors =1 x 1 = 1

LCM(27,997,991) = ( 27 × 997 × 991 ) / 1

LCM(27,997,991) = 26676729 / 1

LCM(27,997,991) = 26676729


Lets's calculate GCF of 520,337,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26676729/1

Therefore the LCM of Fractions 27/520,997/337,991/812 is 26676729

Greatest Common Factor of 520,337,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,337,812 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 520,337,812 . The biggest common factor number is the GCF number.
So the greatest common factor 520,337,812 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 27/520, 997/337, 991/812

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 27/520, 997/337, 991/812?

Answer: LCM of Numerators as per given numbers 27/520, 997/337, 991/812 is

LCM of Numerators i.e. for 27,997,991 is 26676729

GCF of denominators i.e. for 520,337,812 is 1.

Thus, LCM of Fractions is 26676729.Finally, LCM of Fractions for 27/520, 997/337, 991/812 is 26676729.