Least Common Multiple of 45/720, 83/246, 523/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/720, 83/246, 523/579 quickly i.e. 651135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/720, 83/246, 523/579 is 651135.

LCM(45/720, 83/246, 523/579) = 651135

LCM of 45/720, 83/246, 523/579

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 45/720,83/246,523/579

Given numbers are 45/720,83/246,523/579

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 45,83,523

Least Common Multiple of Numerators i.e. LCM of 45,83,523 is 1953405.

GCF of Denominators means GCF of 720,246,579 as per the given fractions.

GCF of 720,246,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,83,523

LCM of Fractions 45/720,83/246,523/579 is 651135

Given numbers has no common factors except 1. So, there LCM is their product i.e 1953405

Least Common Multiple of 45,83,523 with GCF Formula

Least Common Multiple of 45,83,523 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 45,83,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,83,523) = 1

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

GCF(45,83,523) x common factors =1 x 1 = 1

LCM(45,83,523) = ( 45 × 83 × 523 ) / 1

LCM(45,83,523) = 1953405 / 1

LCM(45,83,523) = 1953405


Lets's calculate GCF of 720,246,579

3 720, 246, 579
240, 82, 193

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1953405/3

Therefore the LCM of Fractions 45/720,83/246,523/579 is 651135

Greatest Common Factor of 720,246,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,246,579 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 720,246,579 . The biggest common factor number is the GCF number.
So the greatest common factor 720,246,579 is 3.


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 45/720, 83/246, 523/579

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 45/720, 83/246, 523/579?

Answer: LCM of Numerators as per given numbers 45/720, 83/246, 523/579 is

LCM of Numerators i.e. for 45,83,523 is 1953405

GCF of denominators i.e. for 720,246,579 is 3.

Thus, LCM of Fractions is 651135.Finally, LCM of Fractions for 45/720, 83/246, 523/579 is 651135.