Least Common Multiple of 66/33, 735/56, 301/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/33, 735/56, 301/328 quickly i.e. 695310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/33, 735/56, 301/328 is 695310.

LCM(66/33, 735/56, 301/328) = 695310

LCM of 66/33, 735/56, 301/328

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 66/33,735/56,301/328

Given numbers are 66/33,735/56,301/328

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 66,735,301

Least Common Multiple of Numerators i.e. LCM of 66,735,301 is 695310.

GCF of Denominators means GCF of 33,56,328 as per the given fractions.

GCF of 33,56,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,735,301

LCM of Fractions 66/33,735/56,301/328 is 695310

3 66, 735, 301
7 22, 245, 301
22, 35, 43

∴ So the LCM of the given numbers is 3 x 7 x 22 x 35 x 43 = 695310

Least Common Multiple of 66,735,301 with GCF Formula

Least Common Multiple of 66,735,301 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 66,735,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,735,301) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(66,735,301) x common factors =1 x 21 = 21

LCM(66,735,301) = ( 66 × 735 × 301 ) / 21

LCM(66,735,301) = 14601510 / 21

LCM(66,735,301) = 695310


Lets's calculate GCF of 33,56,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695310/1

Therefore the LCM of Fractions 66/33,735/56,301/328 is 695310

Greatest Common Factor of 33,56,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,56,328 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 33,56,328 . The biggest common factor number is the GCF number.
So the greatest common factor 33,56,328 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 66/33, 735/56, 301/328

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 66/33, 735/56, 301/328?

Answer: LCM of Numerators as per given numbers 66/33, 735/56, 301/328 is

LCM of Numerators i.e. for 66,735,301 is 695310

GCF of denominators i.e. for 33,56,328 is 1.

Thus, LCM of Fractions is 695310.Finally, LCM of Fractions for 66/33, 735/56, 301/328 is 695310.