Least Common Multiple of 216/28, 774/44, 542/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/28, 774/44, 542/666 quickly i.e. 1258524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/28, 774/44, 542/666 is 1258524.

LCM(216/28, 774/44, 542/666) = 1258524

LCM of 216/28, 774/44, 542/666

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 216/28,774/44,542/666

Given numbers are 216/28,774/44,542/666

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 216,774,542

Least Common Multiple of Numerators i.e. LCM of 216,774,542 is 2517048.

GCF of Denominators means GCF of 28,44,666 as per the given fractions.

GCF of 28,44,666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,774,542

LCM of Fractions 216/28,774/44,542/666 is 1258524

2 216, 774, 542
3 108, 387, 271
3 36, 129, 271
12, 43, 271

∴ So the LCM of the given numbers is 2 x 3 x 3 x 12 x 43 x 271 = 2517048

Least Common Multiple of 216,774,542 with GCF Formula

Least Common Multiple of 216,774,542 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 216,774,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,774,542) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(216,774,542) x common factors =2 x 18 = 36

LCM(216,774,542) = ( 216 × 774 × 542 ) / 36

LCM(216,774,542) = 90613728 / 36

LCM(216,774,542) = 2517048


Lets's calculate GCF of 28,44,666

2 28, 44, 666
14, 22, 333

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2517048/2

Therefore the LCM of Fractions 216/28,774/44,542/666 is 1258524

Greatest Common Factor of 28,44,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,44,666 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 28,44,666 . The biggest common factor number is the GCF number.
So the greatest common factor 28,44,666 is 2.


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 216/28, 774/44, 542/666

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 216/28, 774/44, 542/666?

Answer: LCM of Numerators as per given numbers 216/28, 774/44, 542/666 is

LCM of Numerators i.e. for 216,774,542 is 2517048

GCF of denominators i.e. for 28,44,666 is 2.

Thus, LCM of Fractions is 1258524.Finally, LCM of Fractions for 216/28, 774/44, 542/666 is 1258524.