Least Common Multiple of 51/32, 73/84, 609/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/32, 73/84, 609/317 quickly i.e. 755769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/32, 73/84, 609/317 is 755769.

LCM(51/32, 73/84, 609/317) = 755769

LCM of 51/32, 73/84, 609/317

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 51/32,73/84,609/317

Given numbers are 51/32,73/84,609/317

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 51,73,609

Least Common Multiple of Numerators i.e. LCM of 51,73,609 is 755769.

GCF of Denominators means GCF of 32,84,317 as per the given fractions.

GCF of 32,84,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,73,609

LCM of Fractions 51/32,73/84,609/317 is 755769

3 51, 73, 609
17, 73, 203

∴ So the LCM of the given numbers is 3 x 17 x 73 x 203 = 755769

Least Common Multiple of 51,73,609 with GCF Formula

Least Common Multiple of 51,73,609 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 51,73,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,73,609) = 1

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

GCF(51,73,609) x common factors =1 x 3 = 3

LCM(51,73,609) = ( 51 × 73 × 609 ) / 3

LCM(51,73,609) = 2267307 / 3

LCM(51,73,609) = 755769


Lets's calculate GCF of 32,84,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 755769/1

Therefore the LCM of Fractions 51/32,73/84,609/317 is 755769

Greatest Common Factor of 32,84,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,84,317 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 32,84,317 . The biggest common factor number is the GCF number.
So the greatest common factor 32,84,317 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 51/32, 73/84, 609/317

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 51/32, 73/84, 609/317?

Answer: LCM of Numerators as per given numbers 51/32, 73/84, 609/317 is

LCM of Numerators i.e. for 51,73,609 is 755769

GCF of denominators i.e. for 32,84,317 is 1.

Thus, LCM of Fractions is 755769.Finally, LCM of Fractions for 51/32, 73/84, 609/317 is 755769.