Least Common Multiple of 265/82, 305/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/82, 305/738 quickly i.e. 16165/82 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/82, 305/738 is 16165/82.

LCM(265/82, 305/738) = 16165/82

LCM of 265/82, 305/738

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 265/82,305/738

Given numbers are 265/82,305/738

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 265,305

Least Common Multiple of Numerators i.e. LCM of 265,305 is 16165.

GCF of Denominators means GCF of 82,738 as per the given fractions.

GCF of 82,738 is 82 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,305

LCM of Fractions 265/82,305/738 is 16165/82

5 265, 305
53, 61

∴ So the LCM of the given numbers is 5 x 53 x 61 = 16165

Least Common Multiple of 265,305 with GCF Formula

Least Common Multiple of 265,305 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 265,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,305) = 5

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

GCF(265,305) x common factors =5 x 1 = 5

LCM(265,305) = ( 265 × 305 ) / 5

LCM(265,305) = 80825 / 5

LCM(265,305) = 16165


Lets's calculate GCF of 82,738

2 82, 738
41 41, 369
1, 9

∴ So the GCF of the given numbers is 2 x 41 = 82

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16165/82

Therefore the LCM of Fractions 265/82,305/738 is 16165/82

Greatest Common Factor of 82,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,738 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 82,738 . The biggest common factor number is the GCF number.
So the greatest common factor 82,738 is 82.


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 265/82, 305/738

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 265/82, 305/738?

Answer: LCM of Numerators as per given numbers 265/82, 305/738 is

LCM of Numerators i.e. for 265,305 is 16165

GCF of denominators i.e. for 82,738 is 82.

Thus, LCM of Fractions is 16165/82.Finally, LCM of Fractions for 265/82, 305/738 is 16165/82.