Least Common Multiple of 99/361, 34/789, 181/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/361, 34/789, 181/926 quickly i.e. 609246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/361, 34/789, 181/926 is 609246.

LCM(99/361, 34/789, 181/926) = 609246

LCM of 99/361, 34/789, 181/926

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 99/361,34/789,181/926

Given numbers are 99/361,34/789,181/926

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 99,34,181

Least Common Multiple of Numerators i.e. LCM of 99,34,181 is 609246.

GCF of Denominators means GCF of 361,789,926 as per the given fractions.

GCF of 361,789,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,34,181

LCM of Fractions 99/361,34/789,181/926 is 609246

Given numbers has no common factors except 1. So, there LCM is their product i.e 609246

Least Common Multiple of 99,34,181 with GCF Formula

Least Common Multiple of 99,34,181 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 99,34,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,34,181) = 1

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

GCF(99,34,181) x common factors =1 x 1 = 1

LCM(99,34,181) = ( 99 × 34 × 181 ) / 1

LCM(99,34,181) = 609246 / 1

LCM(99,34,181) = 609246


Lets's calculate GCF of 361,789,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 609246/1

Therefore the LCM of Fractions 99/361,34/789,181/926 is 609246

Greatest Common Factor of 361,789,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,789,926 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 361,789,926 . The biggest common factor number is the GCF number.
So the greatest common factor 361,789,926 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/361, 34/789, 181/926

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 99/361, 34/789, 181/926?

Answer: LCM of Numerators as per given numbers 99/361, 34/789, 181/926 is

LCM of Numerators i.e. for 99,34,181 is 609246

GCF of denominators i.e. for 361,789,926 is 1.

Thus, LCM of Fractions is 609246.Finally, LCM of Fractions for 99/361, 34/789, 181/926 is 609246.