Least Common Multiple of 35/16, 39/18, 51/32, 65/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/16, 39/18, 51/32, 65/401 quickly i.e. 23205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/16, 39/18, 51/32, 65/401 is 23205.

LCM(35/16, 39/18, 51/32, 65/401) = 23205

LCM of 35/16, 39/18, 51/32, 65/401

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 35/16,39/18,51/32,65/401

Given numbers are 35/16,39/18,51/32,65/401

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 35,39,51,65

Least Common Multiple of Numerators i.e. LCM of 35,39,51,65 is 23205.

GCF of Denominators means GCF of 16,18,32,401 as per the given fractions.

GCF of 16,18,32,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,39,51,65

LCM of Fractions 35/16,39/18,51/32,65/401 is 23205

3 35, 39, 51, 65
5 35, 13, 17, 65
13 7, 13, 17, 13
7, 1, 17, 1

∴ So the LCM of the given numbers is 3 x 5 x 13 x 7 x 1 x 17 x 1 = 23205

Least Common Multiple of 35,39,51,65 with GCF Formula

Least Common Multiple of 35,39,51,65 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 35,39,51,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,39,51,65) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(35,39,51,65) x common factors =1 x 195 = 195

LCM(35,39,51,65) = ( 35 × 39 × 51 × 65 ) / 195

LCM(35,39,51,65) = 4524975 / 195

LCM(35,39,51,65) = 23205


Lets's calculate GCF of 16,18,32,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23205/1

Therefore the LCM of Fractions 35/16,39/18,51/32,65/401 is 23205

Greatest Common Factor of 16,18,32,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,18,32,401 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 18

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

1,2,3,6,9,18

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 16,18,32,401 . The biggest common factor number is the GCF number.
So the greatest common factor 16,18,32,401 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 35/16, 39/18, 51/32, 65/401

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 35/16, 39/18, 51/32, 65/401?

Answer: LCM of Numerators as per given numbers 35/16, 39/18, 51/32, 65/401 is

LCM of Numerators i.e. for 35,39,51,65 is 23205

GCF of denominators i.e. for 16,18,32,401 is 1.

Thus, LCM of Fractions is 23205.Finally, LCM of Fractions for 35/16, 39/18, 51/32, 65/401 is 23205.