Least Common Multiple of 115/262, 3265/1413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/262, 3265/1413 quickly i.e. 75095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/262, 3265/1413 is 75095.

LCM(115/262, 3265/1413) = 75095

LCM of 115/262, 3265/1413

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 115/262,3265/1413

Given numbers are 115/262,3265/1413

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 115,3265

Least Common Multiple of Numerators i.e. LCM of 115,3265 is 75095.

GCF of Denominators means GCF of 262,1413 as per the given fractions.

GCF of 262,1413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,3265

LCM of Fractions 115/262,3265/1413 is 75095

5 115, 3265
23, 653

∴ So the LCM of the given numbers is 5 x 23 x 653 = 75095

Least Common Multiple of 115,3265 with GCF Formula

Least Common Multiple of 115,3265 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 115,3265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,3265) = 5

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

GCF(115,3265) x common factors =5 x 1 = 5

LCM(115,3265) = ( 115 × 3265 ) / 5

LCM(115,3265) = 375475 / 5

LCM(115,3265) = 75095


Lets's calculate GCF of 262,1413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75095/1

Therefore the LCM of Fractions 115/262,3265/1413 is 75095

Greatest Common Factor of 262,1413 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,1413 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 1413

List of positive integer factors of 1413 that divides 1413 without a remainder.

1,3,9,157,471,1413

Greatest Common Factor

We found the factors 262,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 262,1413 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 115/262, 3265/1413

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 115/262, 3265/1413?

Answer: LCM of Numerators as per given numbers 115/262, 3265/1413 is

LCM of Numerators i.e. for 115,3265 is 75095

GCF of denominators i.e. for 262,1413 is 1.

Thus, LCM of Fractions is 75095.Finally, LCM of Fractions for 115/262, 3265/1413 is 75095.