Least Common Multiple of 1671/322, 6101/6775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1671/322, 6101/6775 quickly i.e. 10194771 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1671/322, 6101/6775 is 10194771.

LCM(1671/322, 6101/6775) = 10194771

LCM of 1671/322, 6101/6775

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 1671/322,6101/6775

Given numbers are 1671/322,6101/6775

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 1671,6101

Least Common Multiple of Numerators i.e. LCM of 1671,6101 is 10194771.

GCF of Denominators means GCF of 322,6775 as per the given fractions.

GCF of 322,6775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1671,6101

LCM of Fractions 1671/322,6101/6775 is 10194771

Given numbers has no common factors except 1. So, there LCM is their product i.e 10194771

Least Common Multiple of 1671,6101 with GCF Formula

Least Common Multiple of 1671,6101 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 1671,6101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1671,6101) = 1

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

GCF(1671,6101) x common factors =1 x 1 = 1

LCM(1671,6101) = ( 1671 × 6101 ) / 1

LCM(1671,6101) = 10194771 / 1

LCM(1671,6101) = 10194771


Lets's calculate GCF of 322,6775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10194771/1

Therefore the LCM of Fractions 1671/322,6101/6775 is 10194771

Greatest Common Factor of 322,6775 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,6775 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1,5,25,271,1355,6775

Greatest Common Factor

We found the factors 322,6775 . The biggest common factor number is the GCF number.
So the greatest common factor 322,6775 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 1671/322, 6101/6775

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 1671/322, 6101/6775?

Answer: LCM of Numerators as per given numbers 1671/322, 6101/6775 is

LCM of Numerators i.e. for 1671,6101 is 10194771

GCF of denominators i.e. for 322,6775 is 1.

Thus, LCM of Fractions is 10194771.Finally, LCM of Fractions for 1671/322, 6101/6775 is 10194771.