Least Common Multiple of 51/18, 87/30, 74/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/18, 87/30, 74/663 quickly i.e. 36482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/18, 87/30, 74/663 is 36482.

LCM(51/18, 87/30, 74/663) = 36482

LCM of 51/18, 87/30, 74/663

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 51/18,87/30,74/663

Given numbers are 51/18,87/30,74/663

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 51,87,74

Least Common Multiple of Numerators i.e. LCM of 51,87,74 is 109446.

GCF of Denominators means GCF of 18,30,663 as per the given fractions.

GCF of 18,30,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,87,74

LCM of Fractions 51/18,87/30,74/663 is 36482

3 51, 87, 74
17, 29, 74

∴ So the LCM of the given numbers is 3 x 17 x 29 x 74 = 109446

Least Common Multiple of 51,87,74 with GCF Formula

Least Common Multiple of 51,87,74 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 51,87,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,87,74) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,87,74) x common factors =1 x 3 = 3

LCM(51,87,74) = ( 51 × 87 × 74 ) / 3

LCM(51,87,74) = 328338 / 3

LCM(51,87,74) = 109446


Lets's calculate GCF of 18,30,663

3 18, 30, 663
6, 10, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109446/3

Therefore the LCM of Fractions 51/18,87/30,74/663 is 36482

Greatest Common Factor of 18,30,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,30,663 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 18,30,663 . The biggest common factor number is the GCF number.
So the greatest common factor 18,30,663 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 51/18, 87/30, 74/663

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 51/18, 87/30, 74/663?

Answer: LCM of Numerators as per given numbers 51/18, 87/30, 74/663 is

LCM of Numerators i.e. for 51,87,74 is 109446

GCF of denominators i.e. for 18,30,663 is 3.

Thus, LCM of Fractions is 36482.Finally, LCM of Fractions for 51/18, 87/30, 74/663 is 36482.