Least Common Multiple of 72/459, 3996/4278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/459, 3996/4278 quickly i.e. 2664 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, 3996/4278 is 2664.

LCM(72/459, 3996/4278) = 2664

LCM of 72/459, 3996/4278

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 72/459,3996/4278

Given numbers are 72/459,3996/4278

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 72,3996

Least Common Multiple of Numerators i.e. LCM of 72,3996 is 7992.

GCF of Denominators means GCF of 459,4278 as per the given fractions.

GCF of 459,4278 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,3996

LCM of Fractions 72/459,3996/4278 is 2664

2 72, 3996
2 36, 1998
3 18, 999
3 6, 333
2, 111

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 111 = 7992

Least Common Multiple of 72,3996 with GCF Formula

Least Common Multiple of 72,3996 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 72,3996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,3996) = 36

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

GCF(72,3996) x common factors =36 x 1 = 36

LCM(72,3996) = ( 72 × 3996 ) / 36

LCM(72,3996) = 287712 / 36

LCM(72,3996) = 7992


Lets's calculate GCF of 459,4278

3 459, 4278
153, 1426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7992/3

Therefore the LCM of Fractions 72/459,3996/4278 is 2664

Greatest Common Factor of 459,4278 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,4278 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 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278

Greatest Common Factor

We found the factors 459,4278 . The biggest common factor number is the GCF number.
So the greatest common factor 459,4278 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 72/459, 3996/4278

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, 3996/4278?

Answer: LCM of Numerators as per given numbers 72/459, 3996/4278 is

LCM of Numerators i.e. for 72,3996 is 7992

GCF of denominators i.e. for 459,4278 is 3.

Thus, LCM of Fractions is 2664.Finally, LCM of Fractions for 72/459, 3996/4278 is 2664.