Least Common Multiple of 66/936, 99/718, 918/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/936, 99/718, 918/674 quickly i.e. 5049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/936, 99/718, 918/674 is 5049.

LCM(66/936, 99/718, 918/674) = 5049

LCM of 66/936, 99/718, 918/674

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 66/936,99/718,918/674

Given numbers are 66/936,99/718,918/674

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 66,99,918

Least Common Multiple of Numerators i.e. LCM of 66,99,918 is 10098.

GCF of Denominators means GCF of 936,718,674 as per the given fractions.

GCF of 936,718,674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,99,918

LCM of Fractions 66/936,99/718,918/674 is 5049

2 66, 99, 918
3 33, 99, 459
3 11, 33, 153
11 11, 11, 51
1, 1, 51

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 1 x 51 = 10098

Least Common Multiple of 66,99,918 with GCF Formula

Least Common Multiple of 66,99,918 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 66,99,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,99,918) = 3

common factors(in case of two or more numbers have common factors) = 198

GCF(66,99,918) x common factors =3 x 198 = 594

LCM(66,99,918) = ( 66 × 99 × 918 ) / 594

LCM(66,99,918) = 5998212 / 594

LCM(66,99,918) = 10098


Lets's calculate GCF of 936,718,674

2 936, 718, 674
468, 359, 337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10098/2

Therefore the LCM of Fractions 66/936,99/718,918/674 is 5049

Greatest Common Factor of 936,718,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,718,674 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 936,718,674 . The biggest common factor number is the GCF number.
So the greatest common factor 936,718,674 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 66/936, 99/718, 918/674

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 66/936, 99/718, 918/674?

Answer: LCM of Numerators as per given numbers 66/936, 99/718, 918/674 is

LCM of Numerators i.e. for 66,99,918 is 10098

GCF of denominators i.e. for 936,718,674 is 2.

Thus, LCM of Fractions is 5049.Finally, LCM of Fractions for 66/936, 99/718, 918/674 is 5049.