Least Common Multiple of 666/18, 348/1548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 666/18, 348/1548 quickly i.e. 2146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/18, 348/1548 is 2146.

LCM(666/18, 348/1548) = 2146

LCM of 666/18, 348/1548

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 666/18,348/1548

Given numbers are 666/18,348/1548

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 666,348

Least Common Multiple of Numerators i.e. LCM of 666,348 is 38628.

GCF of Denominators means GCF of 18,1548 as per the given fractions.

GCF of 18,1548 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,348

LCM of Fractions 666/18,348/1548 is 2146

2 666, 348
3 333, 174
111, 58

∴ So the LCM of the given numbers is 2 x 3 x 111 x 58 = 38628

Least Common Multiple of 666,348 with GCF Formula

Least Common Multiple of 666,348 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 666,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,348) = 6

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

GCF(666,348) x common factors =6 x 1 = 6

LCM(666,348) = ( 666 × 348 ) / 6

LCM(666,348) = 231768 / 6

LCM(666,348) = 38628


Lets's calculate GCF of 18,1548

2 18, 1548
3 9, 774
3 3, 258
1, 86

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38628/18

Therefore the LCM of Fractions 666/18,348/1548 is 2146

Greatest Common Factor of 18,1548 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,1548 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Greatest Common Factor

We found the factors 18,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 18,1548 is 18.


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 666/18, 348/1548

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 666/18, 348/1548?

Answer: LCM of Numerators as per given numbers 666/18, 348/1548 is

LCM of Numerators i.e. for 666,348 is 38628

GCF of denominators i.e. for 18,1548 is 18.

Thus, LCM of Fractions is 2146.Finally, LCM of Fractions for 666/18, 348/1548 is 2146.