Least Common Multiple of 66/494, 18/572, 549/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/494, 18/572, 549/794 quickly i.e. 6039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/494, 18/572, 549/794 is 6039.

LCM(66/494, 18/572, 549/794) = 6039

LCM of 66/494, 18/572, 549/794

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 66/494,18/572,549/794

Given numbers are 66/494,18/572,549/794

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 66,18,549

Least Common Multiple of Numerators i.e. LCM of 66,18,549 is 12078.

GCF of Denominators means GCF of 494,572,794 as per the given fractions.

GCF of 494,572,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,18,549

LCM of Fractions 66/494,18/572,549/794 is 6039

2 66, 18, 549
3 33, 9, 549
3 11, 3, 183
11, 1, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 61 = 12078

Least Common Multiple of 66,18,549 with GCF Formula

Least Common Multiple of 66,18,549 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 66,18,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,18,549) = 3

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

GCF(66,18,549) x common factors =3 x 18 = 54

LCM(66,18,549) = ( 66 × 18 × 549 ) / 54

LCM(66,18,549) = 652212 / 54

LCM(66,18,549) = 12078


Lets's calculate GCF of 494,572,794

2 494, 572, 794
247, 286, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12078/2

Therefore the LCM of Fractions 66/494,18/572,549/794 is 6039

Greatest Common Factor of 494,572,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,572,794 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 494,572,794 . The biggest common factor number is the GCF number.
So the greatest common factor 494,572,794 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 66/494, 18/572, 549/794

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 66/494, 18/572, 549/794?

Answer: LCM of Numerators as per given numbers 66/494, 18/572, 549/794 is

LCM of Numerators i.e. for 66,18,549 is 12078

GCF of denominators i.e. for 494,572,794 is 2.

Thus, LCM of Fractions is 6039.Finally, LCM of Fractions for 66/494, 18/572, 549/794 is 6039.