Least Common Multiple of 89/12, 177/73, 109/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/12, 177/73, 109/199 quickly i.e. 1717077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/12, 177/73, 109/199 is 1717077.

LCM(89/12, 177/73, 109/199) = 1717077

LCM of 89/12, 177/73, 109/199

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 89/12,177/73,109/199

Given numbers are 89/12,177/73,109/199

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 89,177,109

Least Common Multiple of Numerators i.e. LCM of 89,177,109 is 1717077.

GCF of Denominators means GCF of 12,73,199 as per the given fractions.

GCF of 12,73,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,177,109

LCM of Fractions 89/12,177/73,109/199 is 1717077

Given numbers has no common factors except 1. So, there LCM is their product i.e 1717077

Least Common Multiple of 89,177,109 with GCF Formula

Least Common Multiple of 89,177,109 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 89,177,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,177,109) = 1

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

GCF(89,177,109) x common factors =1 x 1 = 1

LCM(89,177,109) = ( 89 × 177 × 109 ) / 1

LCM(89,177,109) = 1717077 / 1

LCM(89,177,109) = 1717077


Lets's calculate GCF of 12,73,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1717077/1

Therefore the LCM of Fractions 89/12,177/73,109/199 is 1717077

Greatest Common Factor of 12,73,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,73,199 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 12,73,199 . The biggest common factor number is the GCF number.
So the greatest common factor 12,73,199 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 89/12, 177/73, 109/199

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 89/12, 177/73, 109/199?

Answer: LCM of Numerators as per given numbers 89/12, 177/73, 109/199 is

LCM of Numerators i.e. for 89,177,109 is 1717077

GCF of denominators i.e. for 12,73,199 is 1.

Thus, LCM of Fractions is 1717077.Finally, LCM of Fractions for 89/12, 177/73, 109/199 is 1717077.