Least Common Multiple of 546/66, 195/1067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/66, 195/1067 quickly i.e. 2730/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/66, 195/1067 is 2730/11.

LCM(546/66, 195/1067) = 2730/11

LCM of 546/66, 195/1067

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 546/66,195/1067

Given numbers are 546/66,195/1067

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 546,195

Least Common Multiple of Numerators i.e. LCM of 546,195 is 2730.

GCF of Denominators means GCF of 66,1067 as per the given fractions.

GCF of 66,1067 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,195

LCM of Fractions 546/66,195/1067 is 2730/11

3 546, 195
13 182, 65
14, 5

∴ So the LCM of the given numbers is 3 x 13 x 14 x 5 = 2730

Least Common Multiple of 546,195 with GCF Formula

Least Common Multiple of 546,195 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 546,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,195) = 39

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

GCF(546,195) x common factors =39 x 1 = 39

LCM(546,195) = ( 546 × 195 ) / 39

LCM(546,195) = 106470 / 39

LCM(546,195) = 2730


Lets's calculate GCF of 66,1067

11 66, 1067
6, 97

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730/11

Therefore the LCM of Fractions 546/66,195/1067 is 2730/11

Greatest Common Factor of 66,1067 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,1067 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1,11,97,1067

Greatest Common Factor

We found the factors 66,1067 . The biggest common factor number is the GCF number.
So the greatest common factor 66,1067 is 11.


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 546/66, 195/1067

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 546/66, 195/1067?

Answer: LCM of Numerators as per given numbers 546/66, 195/1067 is

LCM of Numerators i.e. for 546,195 is 2730

GCF of denominators i.e. for 66,1067 is 11.

Thus, LCM of Fractions is 2730/11.Finally, LCM of Fractions for 546/66, 195/1067 is 2730/11.