Least Common Multiple of 51/972, 1608/8909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/972, 1608/8909 quickly i.e. 27336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/972, 1608/8909 is 27336.

LCM(51/972, 1608/8909) = 27336

LCM of 51/972, 1608/8909

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 51/972,1608/8909

Given numbers are 51/972,1608/8909

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 51,1608

Least Common Multiple of Numerators i.e. LCM of 51,1608 is 27336.

GCF of Denominators means GCF of 972,8909 as per the given fractions.

GCF of 972,8909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,1608

LCM of Fractions 51/972,1608/8909 is 27336

3 51, 1608
17, 536

∴ So the LCM of the given numbers is 3 x 17 x 536 = 27336

Least Common Multiple of 51,1608 with GCF Formula

Least Common Multiple of 51,1608 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 51,1608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,1608) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(51,1608) x common factors =3 x 1 = 3

LCM(51,1608) = ( 51 × 1608 ) / 3

LCM(51,1608) = 82008 / 3

LCM(51,1608) = 27336


Lets's calculate GCF of 972,8909

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27336/1

Therefore the LCM of Fractions 51/972,1608/8909 is 27336

Greatest Common Factor of 972,8909 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,8909 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 8909

List of positive integer factors of 8909 that divides 8909 without a remainder.

1,59,151,8909

Greatest Common Factor

We found the factors 972,8909 . The biggest common factor number is the GCF number.
So the greatest common factor 972,8909 is 1.


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 51/972, 1608/8909

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 51/972, 1608/8909?

Answer: LCM of Numerators as per given numbers 51/972, 1608/8909 is

LCM of Numerators i.e. for 51,1608 is 27336

GCF of denominators i.e. for 972,8909 is 1.

Thus, LCM of Fractions is 27336.Finally, LCM of Fractions for 51/972, 1608/8909 is 27336.