Least Common Multiple of 412/14, 955/18, 795/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/14, 955/18, 795/65 quickly i.e. 62560140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/14, 955/18, 795/65 is 62560140.

LCM(412/14, 955/18, 795/65) = 62560140

LCM of 412/14, 955/18, 795/65

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 412/14,955/18,795/65

Given numbers are 412/14,955/18,795/65

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 412,955,795

Least Common Multiple of Numerators i.e. LCM of 412,955,795 is 62560140.

GCF of Denominators means GCF of 14,18,65 as per the given fractions.

GCF of 14,18,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,955,795

LCM of Fractions 412/14,955/18,795/65 is 62560140

5 412, 955, 795
412, 191, 159

∴ So the LCM of the given numbers is 5 x 412 x 191 x 159 = 62560140

Least Common Multiple of 412,955,795 with GCF Formula

Least Common Multiple of 412,955,795 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 412,955,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,955,795) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(412,955,795) x common factors =1 x 5 = 5

LCM(412,955,795) = ( 412 × 955 × 795 ) / 5

LCM(412,955,795) = 312800700 / 5

LCM(412,955,795) = 62560140


Lets's calculate GCF of 14,18,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62560140/1

Therefore the LCM of Fractions 412/14,955/18,795/65 is 62560140

Greatest Common Factor of 14,18,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,18,65 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 14,18,65 . The biggest common factor number is the GCF number.
So the greatest common factor 14,18,65 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 412/14, 955/18, 795/65

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 412/14, 955/18, 795/65?

Answer: LCM of Numerators as per given numbers 412/14, 955/18, 795/65 is

LCM of Numerators i.e. for 412,955,795 is 62560140

GCF of denominators i.e. for 14,18,65 is 1.

Thus, LCM of Fractions is 62560140.Finally, LCM of Fractions for 412/14, 955/18, 795/65 is 62560140.