Least Common Multiple of 998/187, 273/687, 635/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/187, 273/687, 635/400 quickly i.e. 173008290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/187, 273/687, 635/400 is 173008290.

LCM(998/187, 273/687, 635/400) = 173008290

LCM of 998/187, 273/687, 635/400

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 998/187,273/687,635/400

Given numbers are 998/187,273/687,635/400

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 998,273,635

Least Common Multiple of Numerators i.e. LCM of 998,273,635 is 173008290.

GCF of Denominators means GCF of 187,687,400 as per the given fractions.

GCF of 187,687,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,273,635

LCM of Fractions 998/187,273/687,635/400 is 173008290

Given numbers has no common factors except 1. So, there LCM is their product i.e 173008290

Least Common Multiple of 998,273,635 with GCF Formula

Least Common Multiple of 998,273,635 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 998,273,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,273,635) = 1

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

GCF(998,273,635) x common factors =1 x 1 = 1

LCM(998,273,635) = ( 998 × 273 × 635 ) / 1

LCM(998,273,635) = 173008290 / 1

LCM(998,273,635) = 173008290


Lets's calculate GCF of 187,687,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173008290/1

Therefore the LCM of Fractions 998/187,273/687,635/400 is 173008290

Greatest Common Factor of 187,687,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,687,400 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 187,687,400 . The biggest common factor number is the GCF number.
So the greatest common factor 187,687,400 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 998/187, 273/687, 635/400

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 998/187, 273/687, 635/400?

Answer: LCM of Numerators as per given numbers 998/187, 273/687, 635/400 is

LCM of Numerators i.e. for 998,273,635 is 173008290

GCF of denominators i.e. for 187,687,400 is 1.

Thus, LCM of Fractions is 173008290.Finally, LCM of Fractions for 998/187, 273/687, 635/400 is 173008290.