Least Common Multiple of 45/663, 55/906, 756/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/663, 55/906, 756/312 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/663, 55/906, 756/312 is 13860.

LCM(45/663, 55/906, 756/312) = 13860

LCM of 45/663, 55/906, 756/312

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 45/663,55/906,756/312

Given numbers are 45/663,55/906,756/312

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 45,55,756

Least Common Multiple of Numerators i.e. LCM of 45,55,756 is 41580.

GCF of Denominators means GCF of 663,906,312 as per the given fractions.

GCF of 663,906,312 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,55,756

LCM of Fractions 45/663,55/906,756/312 is 13860

3 45, 55, 756
3 15, 55, 252
5 5, 55, 84
1, 11, 84

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 11 x 84 = 41580

Least Common Multiple of 45,55,756 with GCF Formula

Least Common Multiple of 45,55,756 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 45,55,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,55,756) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(45,55,756) x common factors =1 x 45 = 45

LCM(45,55,756) = ( 45 × 55 × 756 ) / 45

LCM(45,55,756) = 1871100 / 45

LCM(45,55,756) = 41580


Lets's calculate GCF of 663,906,312

3 663, 906, 312
221, 302, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41580/3

Therefore the LCM of Fractions 45/663,55/906,756/312 is 13860

Greatest Common Factor of 663,906,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,906,312 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 663,906,312 . The biggest common factor number is the GCF number.
So the greatest common factor 663,906,312 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 45/663, 55/906, 756/312

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 45/663, 55/906, 756/312?

Answer: LCM of Numerators as per given numbers 45/663, 55/906, 756/312 is

LCM of Numerators i.e. for 45,55,756 is 41580

GCF of denominators i.e. for 663,906,312 is 3.

Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 45/663, 55/906, 756/312 is 13860.