Least Common Multiple of 386/262, 1172/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 386/262, 1172/915 quickly i.e. 226196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/262, 1172/915 is 226196.

LCM(386/262, 1172/915) = 226196

LCM of 386/262, 1172/915

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 386/262,1172/915

Given numbers are 386/262,1172/915

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 386,1172

Least Common Multiple of Numerators i.e. LCM of 386,1172 is 226196.

GCF of Denominators means GCF of 262,915 as per the given fractions.

GCF of 262,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,1172

LCM of Fractions 386/262,1172/915 is 226196

2 386, 1172
193, 586

∴ So the LCM of the given numbers is 2 x 193 x 586 = 226196

Least Common Multiple of 386,1172 with GCF Formula

Least Common Multiple of 386,1172 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 386,1172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,1172) = 2

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

GCF(386,1172) x common factors =2 x 1 = 2

LCM(386,1172) = ( 386 × 1172 ) / 2

LCM(386,1172) = 452392 / 2

LCM(386,1172) = 226196


Lets's calculate GCF of 262,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226196/1

Therefore the LCM of Fractions 386/262,1172/915 is 226196

Greatest Common Factor of 262,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,915 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 262,915 . The biggest common factor number is the GCF number.
So the greatest common factor 262,915 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 386/262, 1172/915

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 386/262, 1172/915?

Answer: LCM of Numerators as per given numbers 386/262, 1172/915 is

LCM of Numerators i.e. for 386,1172 is 226196

GCF of denominators i.e. for 262,915 is 1.

Thus, LCM of Fractions is 226196.Finally, LCM of Fractions for 386/262, 1172/915 is 226196.