Least Common Multiple of 51/673, 21/969, 309/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/673, 21/969, 309/704 quickly i.e. 36771 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/673, 21/969, 309/704 is 36771.

LCM(51/673, 21/969, 309/704) = 36771

LCM of 51/673, 21/969, 309/704

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 51/673,21/969,309/704

Given numbers are 51/673,21/969,309/704

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 51,21,309

Least Common Multiple of Numerators i.e. LCM of 51,21,309 is 36771.

GCF of Denominators means GCF of 673,969,704 as per the given fractions.

GCF of 673,969,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,21,309

LCM of Fractions 51/673,21/969,309/704 is 36771

3 51, 21, 309
17, 7, 103

∴ So the LCM of the given numbers is 3 x 17 x 7 x 103 = 36771

Least Common Multiple of 51,21,309 with GCF Formula

Least Common Multiple of 51,21,309 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 51,21,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,21,309) = 3

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

GCF(51,21,309) x common factors =3 x 3 = 9

LCM(51,21,309) = ( 51 × 21 × 309 ) / 9

LCM(51,21,309) = 330939 / 9

LCM(51,21,309) = 36771


Lets's calculate GCF of 673,969,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36771/1

Therefore the LCM of Fractions 51/673,21/969,309/704 is 36771

Greatest Common Factor of 673,969,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,969,704 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 673,969,704 . The biggest common factor number is the GCF number.
So the greatest common factor 673,969,704 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 51/673, 21/969, 309/704

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 51/673, 21/969, 309/704?

Answer: LCM of Numerators as per given numbers 51/673, 21/969, 309/704 is

LCM of Numerators i.e. for 51,21,309 is 36771

GCF of denominators i.e. for 673,969,704 is 1.

Thus, LCM of Fractions is 36771.Finally, LCM of Fractions for 51/673, 21/969, 309/704 is 36771.