Least Common Multiple of 12/287, 52/305, 545/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/287, 52/305, 545/724 quickly i.e. 85020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/287, 52/305, 545/724 is 85020.

LCM(12/287, 52/305, 545/724) = 85020

LCM of 12/287, 52/305, 545/724

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 12/287,52/305,545/724

Given numbers are 12/287,52/305,545/724

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 12,52,545

Least Common Multiple of Numerators i.e. LCM of 12,52,545 is 85020.

GCF of Denominators means GCF of 287,305,724 as per the given fractions.

GCF of 287,305,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,52,545

LCM of Fractions 12/287,52/305,545/724 is 85020

2 12, 52, 545
2 6, 26, 545
3, 13, 545

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 545 = 85020

Least Common Multiple of 12,52,545 with GCF Formula

Least Common Multiple of 12,52,545 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 12,52,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,52,545) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,52,545) x common factors =1 x 4 = 4

LCM(12,52,545) = ( 12 × 52 × 545 ) / 4

LCM(12,52,545) = 340080 / 4

LCM(12,52,545) = 85020


Lets's calculate GCF of 287,305,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85020/1

Therefore the LCM of Fractions 12/287,52/305,545/724 is 85020

Greatest Common Factor of 287,305,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,305,724 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 287,305,724 . The biggest common factor number is the GCF number.
So the greatest common factor 287,305,724 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 12/287, 52/305, 545/724

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 12/287, 52/305, 545/724?

Answer: LCM of Numerators as per given numbers 12/287, 52/305, 545/724 is

LCM of Numerators i.e. for 12,52,545 is 85020

GCF of denominators i.e. for 287,305,724 is 1.

Thus, LCM of Fractions is 85020.Finally, LCM of Fractions for 12/287, 52/305, 545/724 is 85020.