Least Common Multiple of 72/451, 57/345, 184/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/451, 57/345, 184/788 quickly i.e. 31464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/451, 57/345, 184/788 is 31464.

LCM(72/451, 57/345, 184/788) = 31464

LCM of 72/451, 57/345, 184/788

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 72/451,57/345,184/788

Given numbers are 72/451,57/345,184/788

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 72,57,184

Least Common Multiple of Numerators i.e. LCM of 72,57,184 is 31464.

GCF of Denominators means GCF of 451,345,788 as per the given fractions.

GCF of 451,345,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,57,184

LCM of Fractions 72/451,57/345,184/788 is 31464

2 72, 57, 184
2 36, 57, 92
2 18, 57, 46
3 9, 57, 23
3, 19, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 19 x 23 = 31464

Least Common Multiple of 72,57,184 with GCF Formula

Least Common Multiple of 72,57,184 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 72,57,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,57,184) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,57,184) x common factors =1 x 24 = 24

LCM(72,57,184) = ( 72 × 57 × 184 ) / 24

LCM(72,57,184) = 755136 / 24

LCM(72,57,184) = 31464


Lets's calculate GCF of 451,345,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31464/1

Therefore the LCM of Fractions 72/451,57/345,184/788 is 31464

Greatest Common Factor of 451,345,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,345,788 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 451,345,788 . The biggest common factor number is the GCF number.
So the greatest common factor 451,345,788 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 72/451, 57/345, 184/788

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 72/451, 57/345, 184/788?

Answer: LCM of Numerators as per given numbers 72/451, 57/345, 184/788 is

LCM of Numerators i.e. for 72,57,184 is 31464

GCF of denominators i.e. for 451,345,788 is 1.

Thus, LCM of Fractions is 31464.Finally, LCM of Fractions for 72/451, 57/345, 184/788 is 31464.