Least Common Multiple of 187/226, 1915/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 187/226, 1915/389 quickly i.e. 358105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/226, 1915/389 is 358105.

LCM(187/226, 1915/389) = 358105

LCM of 187/226, 1915/389

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 187/226,1915/389

Given numbers are 187/226,1915/389

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 187,1915

Least Common Multiple of Numerators i.e. LCM of 187,1915 is 358105.

GCF of Denominators means GCF of 226,389 as per the given fractions.

GCF of 226,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,1915

LCM of Fractions 187/226,1915/389 is 358105

Given numbers has no common factors except 1. So, there LCM is their product i.e 358105

Least Common Multiple of 187,1915 with GCF Formula

Least Common Multiple of 187,1915 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 187,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,1915) = 1

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

GCF(187,1915) x common factors =1 x 1 = 1

LCM(187,1915) = ( 187 × 1915 ) / 1

LCM(187,1915) = 358105 / 1

LCM(187,1915) = 358105


Lets's calculate GCF of 226,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358105/1

Therefore the LCM of Fractions 187/226,1915/389 is 358105

Greatest Common Factor of 226,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,389 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 226,389 . The biggest common factor number is the GCF number.
So the greatest common factor 226,389 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 187/226, 1915/389

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 187/226, 1915/389?

Answer: LCM of Numerators as per given numbers 187/226, 1915/389 is

LCM of Numerators i.e. for 187,1915 is 358105

GCF of denominators i.e. for 226,389 is 1.

Thus, LCM of Fractions is 358105.Finally, LCM of Fractions for 187/226, 1915/389 is 358105.