Least Common Multiple of 72/459, 7869/1275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/459, 7869/1275 quickly i.e. 188856/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/459, 7869/1275 is 188856/51.

LCM(72/459, 7869/1275) = 188856/51

LCM of 72/459, 7869/1275

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 72/459,7869/1275

Given numbers are 72/459,7869/1275

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 72,7869

Least Common Multiple of Numerators i.e. LCM of 72,7869 is 188856.

GCF of Denominators means GCF of 459,1275 as per the given fractions.

GCF of 459,1275 is 51 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,7869

LCM of Fractions 72/459,7869/1275 is 188856/51

3 72, 7869
24, 2623

∴ So the LCM of the given numbers is 3 x 24 x 2623 = 188856

Least Common Multiple of 72,7869 with GCF Formula

Least Common Multiple of 72,7869 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 72,7869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,7869) = 3

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

GCF(72,7869) x common factors =3 x 1 = 3

LCM(72,7869) = ( 72 × 7869 ) / 3

LCM(72,7869) = 566568 / 3

LCM(72,7869) = 188856


Lets's calculate GCF of 459,1275

3 459, 1275
17 153, 425
9, 25

∴ So the GCF of the given numbers is 3 x 17 = 51

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188856/51

Therefore the LCM of Fractions 72/459,7869/1275 is 188856/51

Greatest Common Factor of 459,1275 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,1275 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 1275

List of positive integer factors of 1275 that divides 1275 without a remainder.

1,3,5,15,17,25,51,75,85,255,425,1275

Greatest Common Factor

We found the factors 459,1275 . The biggest common factor number is the GCF number.
So the greatest common factor 459,1275 is 51.


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 72/459, 7869/1275

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 72/459, 7869/1275?

Answer: LCM of Numerators as per given numbers 72/459, 7869/1275 is

LCM of Numerators i.e. for 72,7869 is 188856

GCF of denominators i.e. for 459,1275 is 51.

Thus, LCM of Fractions is 188856/51.Finally, LCM of Fractions for 72/459, 7869/1275 is 188856/51.