Least Common Multiple of 218/27, 246/87, 795/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/27, 246/87, 795/66 quickly i.e. 2368570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/27, 246/87, 795/66 is 2368570.

LCM(218/27, 246/87, 795/66) = 2368570

LCM of 218/27, 246/87, 795/66

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 218/27,246/87,795/66

Given numbers are 218/27,246/87,795/66

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 218,246,795

Least Common Multiple of Numerators i.e. LCM of 218,246,795 is 7105710.

GCF of Denominators means GCF of 27,87,66 as per the given fractions.

GCF of 27,87,66 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,246,795

LCM of Fractions 218/27,246/87,795/66 is 2368570

2 218, 246, 795
3 109, 123, 795
109, 41, 265

∴ So the LCM of the given numbers is 2 x 3 x 109 x 41 x 265 = 7105710

Least Common Multiple of 218,246,795 with GCF Formula

Least Common Multiple of 218,246,795 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 218,246,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,246,795) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(218,246,795) x common factors =1 x 6 = 6

LCM(218,246,795) = ( 218 × 246 × 795 ) / 6

LCM(218,246,795) = 42634260 / 6

LCM(218,246,795) = 7105710


Lets's calculate GCF of 27,87,66

3 27, 87, 66
9, 29, 22

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7105710/3

Therefore the LCM of Fractions 218/27,246/87,795/66 is 2368570

Greatest Common Factor of 27,87,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,87,66 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 66

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

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

Greatest Common Factor

We found the factors 27,87,66 . The biggest common factor number is the GCF number.
So the greatest common factor 27,87,66 is 3.


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 218/27, 246/87, 795/66

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 218/27, 246/87, 795/66?

Answer: LCM of Numerators as per given numbers 218/27, 246/87, 795/66 is

LCM of Numerators i.e. for 218,246,795 is 7105710

GCF of denominators i.e. for 27,87,66 is 3.

Thus, LCM of Fractions is 2368570.Finally, LCM of Fractions for 218/27, 246/87, 795/66 is 2368570.