Least Common Multiple of 6311/567, 5378/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6311/567, 5378/166 quickly i.e. 33940558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6311/567, 5378/166 is 33940558.

LCM(6311/567, 5378/166) = 33940558

LCM of 6311/567, 5378/166

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 6311/567,5378/166

Given numbers are 6311/567,5378/166

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 6311,5378

Least Common Multiple of Numerators i.e. LCM of 6311,5378 is 33940558.

GCF of Denominators means GCF of 567,166 as per the given fractions.

GCF of 567,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6311,5378

LCM of Fractions 6311/567,5378/166 is 33940558

Given numbers has no common factors except 1. So, there LCM is their product i.e 33940558

Least Common Multiple of 6311,5378 with GCF Formula

Least Common Multiple of 6311,5378 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 6311,5378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6311,5378) = 1

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

GCF(6311,5378) x common factors =1 x 1 = 1

LCM(6311,5378) = ( 6311 × 5378 ) / 1

LCM(6311,5378) = 33940558 / 1

LCM(6311,5378) = 33940558


Lets's calculate GCF of 567,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33940558/1

Therefore the LCM of Fractions 6311/567,5378/166 is 33940558

Greatest Common Factor of 567,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,166 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 567,166 . The biggest common factor number is the GCF number.
So the greatest common factor 567,166 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 6311/567, 5378/166

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 6311/567, 5378/166?

Answer: LCM of Numerators as per given numbers 6311/567, 5378/166 is

LCM of Numerators i.e. for 6311,5378 is 33940558

GCF of denominators i.e. for 567,166 is 1.

Thus, LCM of Fractions is 33940558.Finally, LCM of Fractions for 6311/567, 5378/166 is 33940558.