Least Common Multiple of 312/991, 584/511, 693/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/991, 584/511, 693/398 quickly i.e. 5261256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/991, 584/511, 693/398 is 5261256.

LCM(312/991, 584/511, 693/398) = 5261256

LCM of 312/991, 584/511, 693/398

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 312/991,584/511,693/398

Given numbers are 312/991,584/511,693/398

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 312,584,693

Least Common Multiple of Numerators i.e. LCM of 312,584,693 is 5261256.

GCF of Denominators means GCF of 991,511,398 as per the given fractions.

GCF of 991,511,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,584,693

LCM of Fractions 312/991,584/511,693/398 is 5261256

2 312, 584, 693
2 156, 292, 693
2 78, 146, 693
3 39, 73, 693
13, 73, 231

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 73 x 231 = 5261256

Least Common Multiple of 312,584,693 with GCF Formula

Least Common Multiple of 312,584,693 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 312,584,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,584,693) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(312,584,693) x common factors =1 x 24 = 24

LCM(312,584,693) = ( 312 × 584 × 693 ) / 24

LCM(312,584,693) = 126270144 / 24

LCM(312,584,693) = 5261256


Lets's calculate GCF of 991,511,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5261256/1

Therefore the LCM of Fractions 312/991,584/511,693/398 is 5261256

Greatest Common Factor of 991,511,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,511,398 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 991,511,398 . The biggest common factor number is the GCF number.
So the greatest common factor 991,511,398 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 312/991, 584/511, 693/398

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 312/991, 584/511, 693/398?

Answer: LCM of Numerators as per given numbers 312/991, 584/511, 693/398 is

LCM of Numerators i.e. for 312,584,693 is 5261256

GCF of denominators i.e. for 991,511,398 is 1.

Thus, LCM of Fractions is 5261256.Finally, LCM of Fractions for 312/991, 584/511, 693/398 is 5261256.