Least Common Multiple of 75/18, 65/22, 966/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/18, 65/22, 966/346 quickly i.e. 156975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/18, 65/22, 966/346 is 156975.

LCM(75/18, 65/22, 966/346) = 156975

LCM of 75/18, 65/22, 966/346

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 75/18,65/22,966/346

Given numbers are 75/18,65/22,966/346

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 75,65,966

Least Common Multiple of Numerators i.e. LCM of 75,65,966 is 313950.

GCF of Denominators means GCF of 18,22,346 as per the given fractions.

GCF of 18,22,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,65,966

LCM of Fractions 75/18,65/22,966/346 is 156975

3 75, 65, 966
5 25, 65, 322
5, 13, 322

∴ So the LCM of the given numbers is 3 x 5 x 5 x 13 x 322 = 313950

Least Common Multiple of 75,65,966 with GCF Formula

Least Common Multiple of 75,65,966 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 75,65,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,65,966) = 1

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

GCF(75,65,966) x common factors =1 x 15 = 15

LCM(75,65,966) = ( 75 × 65 × 966 ) / 15

LCM(75,65,966) = 4709250 / 15

LCM(75,65,966) = 313950


Lets's calculate GCF of 18,22,346

2 18, 22, 346
9, 11, 173

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313950/2

Therefore the LCM of Fractions 75/18,65/22,966/346 is 156975

Greatest Common Factor of 18,22,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,22,346 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 18,22,346 . The biggest common factor number is the GCF number.
So the greatest common factor 18,22,346 is 2.


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 75/18, 65/22, 966/346

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 75/18, 65/22, 966/346?

Answer: LCM of Numerators as per given numbers 75/18, 65/22, 966/346 is

LCM of Numerators i.e. for 75,65,966 is 313950

GCF of denominators i.e. for 18,22,346 is 2.

Thus, LCM of Fractions is 156975.Finally, LCM of Fractions for 75/18, 65/22, 966/346 is 156975.