Least Common Multiple of 65/228, 105/849, 345/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/228, 105/849, 345/325 quickly i.e. 31395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/228, 105/849, 345/325 is 31395.

LCM(65/228, 105/849, 345/325) = 31395

LCM of 65/228, 105/849, 345/325

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 65/228,105/849,345/325

Given numbers are 65/228,105/849,345/325

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 65,105,345

Least Common Multiple of Numerators i.e. LCM of 65,105,345 is 31395.

GCF of Denominators means GCF of 228,849,325 as per the given fractions.

GCF of 228,849,325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,105,345

LCM of Fractions 65/228,105/849,345/325 is 31395

3 65, 105, 345
5 65, 35, 115
13, 7, 23

∴ So the LCM of the given numbers is 3 x 5 x 13 x 7 x 23 = 31395

Least Common Multiple of 65,105,345 with GCF Formula

Least Common Multiple of 65,105,345 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 65,105,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,105,345) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(65,105,345) x common factors =5 x 15 = 75

LCM(65,105,345) = ( 65 × 105 × 345 ) / 75

LCM(65,105,345) = 2354625 / 75

LCM(65,105,345) = 31395


Lets's calculate GCF of 228,849,325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31395/1

Therefore the LCM of Fractions 65/228,105/849,345/325 is 31395

Greatest Common Factor of 228,849,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,849,325 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 228,849,325 . The biggest common factor number is the GCF number.
So the greatest common factor 228,849,325 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 65/228, 105/849, 345/325

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 65/228, 105/849, 345/325?

Answer: LCM of Numerators as per given numbers 65/228, 105/849, 345/325 is

LCM of Numerators i.e. for 65,105,345 is 31395

GCF of denominators i.e. for 228,849,325 is 1.

Thus, LCM of Fractions is 31395.Finally, LCM of Fractions for 65/228, 105/849, 345/325 is 31395.