Least Common Multiple of 99/18, 55/12, 34/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/18, 55/12, 34/273 quickly i.e. 5610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/18, 55/12, 34/273 is 5610.

LCM(99/18, 55/12, 34/273) = 5610

LCM of 99/18, 55/12, 34/273

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 99/18,55/12,34/273

Given numbers are 99/18,55/12,34/273

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 99,55,34

Least Common Multiple of Numerators i.e. LCM of 99,55,34 is 16830.

GCF of Denominators means GCF of 18,12,273 as per the given fractions.

GCF of 18,12,273 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,55,34

LCM of Fractions 99/18,55/12,34/273 is 5610

11 99, 55, 34
9, 5, 34

∴ So the LCM of the given numbers is 11 x 9 x 5 x 34 = 16830

Least Common Multiple of 99,55,34 with GCF Formula

Least Common Multiple of 99,55,34 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 99,55,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,55,34) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(99,55,34) x common factors =1 x 11 = 11

LCM(99,55,34) = ( 99 × 55 × 34 ) / 11

LCM(99,55,34) = 185130 / 11

LCM(99,55,34) = 16830


Lets's calculate GCF of 18,12,273

3 18, 12, 273
6, 4, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16830/3

Therefore the LCM of Fractions 99/18,55/12,34/273 is 5610

Greatest Common Factor of 18,12,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,12,273 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 18,12,273 . The biggest common factor number is the GCF number.
So the greatest common factor 18,12,273 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 99/18, 55/12, 34/273

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 99/18, 55/12, 34/273?

Answer: LCM of Numerators as per given numbers 99/18, 55/12, 34/273 is

LCM of Numerators i.e. for 99,55,34 is 16830

GCF of denominators i.e. for 18,12,273 is 3.

Thus, LCM of Fractions is 5610.Finally, LCM of Fractions for 99/18, 55/12, 34/273 is 5610.