Least Common Multiple of 18/727, 17/634, 197/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/727, 17/634, 197/718 quickly i.e. 60282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/727, 17/634, 197/718 is 60282.

LCM(18/727, 17/634, 197/718) = 60282

LCM of 18/727, 17/634, 197/718

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 18/727,17/634,197/718

Given numbers are 18/727,17/634,197/718

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 18,17,197

Least Common Multiple of Numerators i.e. LCM of 18,17,197 is 60282.

GCF of Denominators means GCF of 727,634,718 as per the given fractions.

GCF of 727,634,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,17,197

LCM of Fractions 18/727,17/634,197/718 is 60282

Given numbers has no common factors except 1. So, there LCM is their product i.e 60282

Least Common Multiple of 18,17,197 with GCF Formula

Least Common Multiple of 18,17,197 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 18,17,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,17,197) = 1

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

GCF(18,17,197) x common factors =1 x 1 = 1

LCM(18,17,197) = ( 18 × 17 × 197 ) / 1

LCM(18,17,197) = 60282 / 1

LCM(18,17,197) = 60282


Lets's calculate GCF of 727,634,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60282/1

Therefore the LCM of Fractions 18/727,17/634,197/718 is 60282

Greatest Common Factor of 727,634,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,634,718 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 727,634,718 . The biggest common factor number is the GCF number.
So the greatest common factor 727,634,718 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 18/727, 17/634, 197/718

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 18/727, 17/634, 197/718?

Answer: LCM of Numerators as per given numbers 18/727, 17/634, 197/718 is

LCM of Numerators i.e. for 18,17,197 is 60282

GCF of denominators i.e. for 727,634,718 is 1.

Thus, LCM of Fractions is 60282.Finally, LCM of Fractions for 18/727, 17/634, 197/718 is 60282.