Least Common Multiple of 667/33, 261/6557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 667/33, 261/6557 quickly i.e. 6003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/33, 261/6557 is 6003.

LCM(667/33, 261/6557) = 6003

LCM of 667/33, 261/6557

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 667/33,261/6557

Given numbers are 667/33,261/6557

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 667,261

Least Common Multiple of Numerators i.e. LCM of 667,261 is 6003.

GCF of Denominators means GCF of 33,6557 as per the given fractions.

GCF of 33,6557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,261

LCM of Fractions 667/33,261/6557 is 6003

29 667, 261
23, 9

∴ So the LCM of the given numbers is 29 x 23 x 9 = 6003

Least Common Multiple of 667,261 with GCF Formula

Least Common Multiple of 667,261 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 667,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,261) = 29

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

GCF(667,261) x common factors =29 x 1 = 29

LCM(667,261) = ( 667 × 261 ) / 29

LCM(667,261) = 174087 / 29

LCM(667,261) = 6003


Lets's calculate GCF of 33,6557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6003/1

Therefore the LCM of Fractions 667/33,261/6557 is 6003

Greatest Common Factor of 33,6557 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,6557 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 6557

List of positive integer factors of 6557 that divides 6557 without a remainder.

1,79,83,6557

Greatest Common Factor

We found the factors 33,6557 . The biggest common factor number is the GCF number.
So the greatest common factor 33,6557 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 667/33, 261/6557

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 667/33, 261/6557?

Answer: LCM of Numerators as per given numbers 667/33, 261/6557 is

LCM of Numerators i.e. for 667,261 is 6003

GCF of denominators i.e. for 33,6557 is 1.

Thus, LCM of Fractions is 6003.Finally, LCM of Fractions for 667/33, 261/6557 is 6003.