Least Common Multiple of 33/207, 616/735, 123/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/207, 616/735, 123/460 quickly i.e. 75768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/207, 616/735, 123/460 is 75768.

LCM(33/207, 616/735, 123/460) = 75768

LCM of 33/207, 616/735, 123/460

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 33/207,616/735,123/460

Given numbers are 33/207,616/735,123/460

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 33,616,123

Least Common Multiple of Numerators i.e. LCM of 33,616,123 is 75768.

GCF of Denominators means GCF of 207,735,460 as per the given fractions.

GCF of 207,735,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,616,123

LCM of Fractions 33/207,616/735,123/460 is 75768

3 33, 616, 123
11 11, 616, 41
1, 56, 41

∴ So the LCM of the given numbers is 3 x 11 x 1 x 56 x 41 = 75768

Least Common Multiple of 33,616,123 with GCF Formula

Least Common Multiple of 33,616,123 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 33,616,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,616,123) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,616,123) x common factors =1 x 33 = 33

LCM(33,616,123) = ( 33 × 616 × 123 ) / 33

LCM(33,616,123) = 2500344 / 33

LCM(33,616,123) = 75768


Lets's calculate GCF of 207,735,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75768/1

Therefore the LCM of Fractions 33/207,616/735,123/460 is 75768

Greatest Common Factor of 207,735,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,735,460 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 207,735,460 . The biggest common factor number is the GCF number.
So the greatest common factor 207,735,460 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 33/207, 616/735, 123/460

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 33/207, 616/735, 123/460?

Answer: LCM of Numerators as per given numbers 33/207, 616/735, 123/460 is

LCM of Numerators i.e. for 33,616,123 is 75768

GCF of denominators i.e. for 207,735,460 is 1.

Thus, LCM of Fractions is 75768.Finally, LCM of Fractions for 33/207, 616/735, 123/460 is 75768.