Least Common Multiple of 1311/628, 1577/5591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1311/628, 1577/5591 quickly i.e. 108813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1311/628, 1577/5591 is 108813.

LCM(1311/628, 1577/5591) = 108813

LCM of 1311/628, 1577/5591

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 1311/628,1577/5591

Given numbers are 1311/628,1577/5591

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 1311,1577

Least Common Multiple of Numerators i.e. LCM of 1311,1577 is 108813.

GCF of Denominators means GCF of 628,5591 as per the given fractions.

GCF of 628,5591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1311,1577

LCM of Fractions 1311/628,1577/5591 is 108813

19 1311, 1577
69, 83

∴ So the LCM of the given numbers is 19 x 69 x 83 = 108813

Least Common Multiple of 1311,1577 with GCF Formula

Least Common Multiple of 1311,1577 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 1311,1577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1311,1577) = 19

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

GCF(1311,1577) x common factors =19 x 1 = 19

LCM(1311,1577) = ( 1311 × 1577 ) / 19

LCM(1311,1577) = 2067447 / 19

LCM(1311,1577) = 108813


Lets's calculate GCF of 628,5591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108813/1

Therefore the LCM of Fractions 1311/628,1577/5591 is 108813

Greatest Common Factor of 628,5591 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,5591 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 5591

List of positive integer factors of 5591 that divides 5591 without a remainder.

1,5591

Greatest Common Factor

We found the factors 628,5591 . The biggest common factor number is the GCF number.
So the greatest common factor 628,5591 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 1311/628, 1577/5591

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 1311/628, 1577/5591?

Answer: LCM of Numerators as per given numbers 1311/628, 1577/5591 is

LCM of Numerators i.e. for 1311,1577 is 108813

GCF of denominators i.e. for 628,5591 is 1.

Thus, LCM of Fractions is 108813.Finally, LCM of Fractions for 1311/628, 1577/5591 is 108813.