Least Common Multiple of 99/111, 201/152, 170/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/111, 201/152, 170/268 quickly i.e. 1127610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/111, 201/152, 170/268 is 1127610.

LCM(99/111, 201/152, 170/268) = 1127610

LCM of 99/111, 201/152, 170/268

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 99/111,201/152,170/268

Given numbers are 99/111,201/152,170/268

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 99,201,170

Least Common Multiple of Numerators i.e. LCM of 99,201,170 is 1127610.

GCF of Denominators means GCF of 111,152,268 as per the given fractions.

GCF of 111,152,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,201,170

LCM of Fractions 99/111,201/152,170/268 is 1127610

3 99, 201, 170
33, 67, 170

∴ So the LCM of the given numbers is 3 x 33 x 67 x 170 = 1127610

Least Common Multiple of 99,201,170 with GCF Formula

Least Common Multiple of 99,201,170 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 99,201,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,201,170) = 1

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

GCF(99,201,170) x common factors =1 x 3 = 3

LCM(99,201,170) = ( 99 × 201 × 170 ) / 3

LCM(99,201,170) = 3382830 / 3

LCM(99,201,170) = 1127610


Lets's calculate GCF of 111,152,268

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1127610/1

Therefore the LCM of Fractions 99/111,201/152,170/268 is 1127610

Greatest Common Factor of 111,152,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,152,268 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 111,152,268 . The biggest common factor number is the GCF number.
So the greatest common factor 111,152,268 is 1.


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 99/111, 201/152, 170/268

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 99/111, 201/152, 170/268?

Answer: LCM of Numerators as per given numbers 99/111, 201/152, 170/268 is

LCM of Numerators i.e. for 99,201,170 is 1127610

GCF of denominators i.e. for 111,152,268 is 1.

Thus, LCM of Fractions is 1127610.Finally, LCM of Fractions for 99/111, 201/152, 170/268 is 1127610.