Least Common Multiple of 90/111, 611/189, 991/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/111, 611/189, 991/116 quickly i.e. 54495090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/111, 611/189, 991/116 is 54495090.

LCM(90/111, 611/189, 991/116) = 54495090

LCM of 90/111, 611/189, 991/116

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 90/111,611/189,991/116

Given numbers are 90/111,611/189,991/116

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 90,611,991

Least Common Multiple of Numerators i.e. LCM of 90,611,991 is 54495090.

GCF of Denominators means GCF of 111,189,116 as per the given fractions.

GCF of 111,189,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,611,991

LCM of Fractions 90/111,611/189,991/116 is 54495090

Given numbers has no common factors except 1. So, there LCM is their product i.e 54495090

Least Common Multiple of 90,611,991 with GCF Formula

Least Common Multiple of 90,611,991 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 90,611,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,611,991) = 1

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

GCF(90,611,991) x common factors =1 x 1 = 1

LCM(90,611,991) = ( 90 × 611 × 991 ) / 1

LCM(90,611,991) = 54495090 / 1

LCM(90,611,991) = 54495090


Lets's calculate GCF of 111,189,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54495090/1

Therefore the LCM of Fractions 90/111,611/189,991/116 is 54495090

Greatest Common Factor of 111,189,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,189,116 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 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 111,189,116 . The biggest common factor number is the GCF number.
So the greatest common factor 111,189,116 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 90/111, 611/189, 991/116

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 90/111, 611/189, 991/116?

Answer: LCM of Numerators as per given numbers 90/111, 611/189, 991/116 is

LCM of Numerators i.e. for 90,611,991 is 54495090

GCF of denominators i.e. for 111,189,116 is 1.

Thus, LCM of Fractions is 54495090.Finally, LCM of Fractions for 90/111, 611/189, 991/116 is 54495090.