Least Common Multiple of 187/85, 992/7209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/85, 992/7209 quickly i.e. 185504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/85, 992/7209 is 185504.

LCM(187/85, 992/7209) = 185504

LCM of 187/85, 992/7209

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 187/85,992/7209

Given numbers are 187/85,992/7209

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 187,992

Least Common Multiple of Numerators i.e. LCM of 187,992 is 185504.

GCF of Denominators means GCF of 85,7209 as per the given fractions.

GCF of 85,7209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,992

LCM of Fractions 187/85,992/7209 is 185504

Given numbers has no common factors except 1. So, there LCM is their product i.e 185504

Least Common Multiple of 187,992 with GCF Formula

Least Common Multiple of 187,992 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 187,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,992) = 1

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

GCF(187,992) x common factors =1 x 1 = 1

LCM(187,992) = ( 187 × 992 ) / 1

LCM(187,992) = 185504 / 1

LCM(187,992) = 185504


Lets's calculate GCF of 85,7209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185504/1

Therefore the LCM of Fractions 187/85,992/7209 is 185504

Greatest Common Factor of 85,7209 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,7209 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1,3,9,27,81,89,267,801,2403,7209

Greatest Common Factor

We found the factors 85,7209 . The biggest common factor number is the GCF number.
So the greatest common factor 85,7209 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 187/85, 992/7209

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 187/85, 992/7209?

Answer: LCM of Numerators as per given numbers 187/85, 992/7209 is

LCM of Numerators i.e. for 187,992 is 185504

GCF of denominators i.e. for 85,7209 is 1.

Thus, LCM of Fractions is 185504.Finally, LCM of Fractions for 187/85, 992/7209 is 185504.