Least Common Multiple of 18/592, 92/374, 291/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/592, 92/374, 291/799 quickly i.e. 80316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/592, 92/374, 291/799 is 80316.

LCM(18/592, 92/374, 291/799) = 80316

LCM of 18/592, 92/374, 291/799

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 18/592,92/374,291/799

Given numbers are 18/592,92/374,291/799

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 18,92,291

Least Common Multiple of Numerators i.e. LCM of 18,92,291 is 80316.

GCF of Denominators means GCF of 592,374,799 as per the given fractions.

GCF of 592,374,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,92,291

LCM of Fractions 18/592,92/374,291/799 is 80316

2 18, 92, 291
3 9, 46, 291
3, 46, 97

∴ So the LCM of the given numbers is 2 x 3 x 3 x 46 x 97 = 80316

Least Common Multiple of 18,92,291 with GCF Formula

Least Common Multiple of 18,92,291 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 18,92,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,92,291) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,92,291) x common factors =1 x 6 = 6

LCM(18,92,291) = ( 18 × 92 × 291 ) / 6

LCM(18,92,291) = 481896 / 6

LCM(18,92,291) = 80316


Lets's calculate GCF of 592,374,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80316/1

Therefore the LCM of Fractions 18/592,92/374,291/799 is 80316

Greatest Common Factor of 592,374,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,374,799 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 592,374,799 . The biggest common factor number is the GCF number.
So the greatest common factor 592,374,799 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 18/592, 92/374, 291/799

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 18/592, 92/374, 291/799?

Answer: LCM of Numerators as per given numbers 18/592, 92/374, 291/799 is

LCM of Numerators i.e. for 18,92,291 is 80316

GCF of denominators i.e. for 592,374,799 is 1.

Thus, LCM of Fractions is 80316.Finally, LCM of Fractions for 18/592, 92/374, 291/799 is 80316.