Least Common Multiple of 459/72, 852/27, 551/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/72, 852/27, 551/99 quickly i.e. 7980684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/72, 852/27, 551/99 is 7980684.

LCM(459/72, 852/27, 551/99) = 7980684

LCM of 459/72, 852/27, 551/99

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 459/72,852/27,551/99

Given numbers are 459/72,852/27,551/99

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 459,852,551

Least Common Multiple of Numerators i.e. LCM of 459,852,551 is 71826156.

GCF of Denominators means GCF of 72,27,99 as per the given fractions.

GCF of 72,27,99 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,852,551

LCM of Fractions 459/72,852/27,551/99 is 7980684

3 459, 852, 551
153, 284, 551

∴ So the LCM of the given numbers is 3 x 153 x 284 x 551 = 71826156

Least Common Multiple of 459,852,551 with GCF Formula

Least Common Multiple of 459,852,551 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 459,852,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,852,551) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(459,852,551) x common factors =1 x 3 = 3

LCM(459,852,551) = ( 459 × 852 × 551 ) / 3

LCM(459,852,551) = 215478468 / 3

LCM(459,852,551) = 71826156


Lets's calculate GCF of 72,27,99

3 72, 27, 99
3 24, 9, 33
8, 3, 11

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71826156/9

Therefore the LCM of Fractions 459/72,852/27,551/99 is 7980684

Greatest Common Factor of 72,27,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,27,99 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 72,27,99 . The biggest common factor number is the GCF number.
So the greatest common factor 72,27,99 is 9.


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 459/72, 852/27, 551/99

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 459/72, 852/27, 551/99?

Answer: LCM of Numerators as per given numbers 459/72, 852/27, 551/99 is

LCM of Numerators i.e. for 459,852,551 is 71826156

GCF of denominators i.e. for 72,27,99 is 9.

Thus, LCM of Fractions is 7980684.Finally, LCM of Fractions for 459/72, 852/27, 551/99 is 7980684.