Least Common Multiple of 105/272, 9416/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/272, 9416/187 quickly i.e. 988680/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/272, 9416/187 is 988680/17.

LCM(105/272, 9416/187) = 988680/17

LCM of 105/272, 9416/187

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 105/272,9416/187

Given numbers are 105/272,9416/187

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 105,9416

Least Common Multiple of Numerators i.e. LCM of 105,9416 is 988680.

GCF of Denominators means GCF of 272,187 as per the given fractions.

GCF of 272,187 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,9416

LCM of Fractions 105/272,9416/187 is 988680/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 988680

Least Common Multiple of 105,9416 with GCF Formula

Least Common Multiple of 105,9416 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 105,9416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,9416) = 1

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

GCF(105,9416) x common factors =1 x 1 = 1

LCM(105,9416) = ( 105 × 9416 ) / 1

LCM(105,9416) = 988680 / 1

LCM(105,9416) = 988680


Lets's calculate GCF of 272,187

17 272, 187
16, 11

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 988680/17

Therefore the LCM of Fractions 105/272,9416/187 is 988680/17

Greatest Common Factor of 272,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,187 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 187

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

1,11,17,187

Greatest Common Factor

We found the factors 272,187 . The biggest common factor number is the GCF number.
So the greatest common factor 272,187 is 17.


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 105/272, 9416/187

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 105/272, 9416/187?

Answer: LCM of Numerators as per given numbers 105/272, 9416/187 is

LCM of Numerators i.e. for 105,9416 is 988680

GCF of denominators i.e. for 272,187 is 17.

Thus, LCM of Fractions is 988680/17.Finally, LCM of Fractions for 105/272, 9416/187 is 988680/17.