Least Common Multiple of 66/966, 3352/4017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/966, 3352/4017 quickly i.e. 36872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/966, 3352/4017 is 36872.

LCM(66/966, 3352/4017) = 36872

LCM of 66/966, 3352/4017

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 66/966,3352/4017

Given numbers are 66/966,3352/4017

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 66,3352

Least Common Multiple of Numerators i.e. LCM of 66,3352 is 110616.

GCF of Denominators means GCF of 966,4017 as per the given fractions.

GCF of 966,4017 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,3352

LCM of Fractions 66/966,3352/4017 is 36872

2 66, 3352
33, 1676

∴ So the LCM of the given numbers is 2 x 33 x 1676 = 110616

Least Common Multiple of 66,3352 with GCF Formula

Least Common Multiple of 66,3352 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 66,3352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,3352) = 2

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

GCF(66,3352) x common factors =2 x 1 = 2

LCM(66,3352) = ( 66 × 3352 ) / 2

LCM(66,3352) = 221232 / 2

LCM(66,3352) = 110616


Lets's calculate GCF of 966,4017

3 966, 4017
322, 1339

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110616/3

Therefore the LCM of Fractions 66/966,3352/4017 is 36872

Greatest Common Factor of 966,4017 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,4017 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 4017

List of positive integer factors of 4017 that divides 4017 without a remainder.

1,3,13,39,103,309,1339,4017

Greatest Common Factor

We found the factors 966,4017 . The biggest common factor number is the GCF number.
So the greatest common factor 966,4017 is 3.


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 66/966, 3352/4017

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 66/966, 3352/4017?

Answer: LCM of Numerators as per given numbers 66/966, 3352/4017 is

LCM of Numerators i.e. for 66,3352 is 110616

GCF of denominators i.e. for 966,4017 is 3.

Thus, LCM of Fractions is 36872.Finally, LCM of Fractions for 66/966, 3352/4017 is 36872.