Least Common Multiple of 45/660, 2456/3336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/660, 2456/3336 quickly i.e. 9210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/660, 2456/3336 is 9210.

LCM(45/660, 2456/3336) = 9210

LCM of 45/660, 2456/3336

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 45/660,2456/3336

Given numbers are 45/660,2456/3336

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 45,2456

Least Common Multiple of Numerators i.e. LCM of 45,2456 is 110520.

GCF of Denominators means GCF of 660,3336 as per the given fractions.

GCF of 660,3336 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,2456

LCM of Fractions 45/660,2456/3336 is 9210

Given numbers has no common factors except 1. So, there LCM is their product i.e 110520

Least Common Multiple of 45,2456 with GCF Formula

Least Common Multiple of 45,2456 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 45,2456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,2456) = 1

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

GCF(45,2456) x common factors =1 x 1 = 1

LCM(45,2456) = ( 45 × 2456 ) / 1

LCM(45,2456) = 110520 / 1

LCM(45,2456) = 110520


Lets's calculate GCF of 660,3336

2 660, 3336
2 330, 1668
3 165, 834
55, 278

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110520/12

Therefore the LCM of Fractions 45/660,2456/3336 is 9210

Greatest Common Factor of 660,3336 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,3336 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 3336

List of positive integer factors of 3336 that divides 3336 without a remainder.

1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336

Greatest Common Factor

We found the factors 660,3336 . The biggest common factor number is the GCF number.
So the greatest common factor 660,3336 is 12.


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 45/660, 2456/3336

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 45/660, 2456/3336?

Answer: LCM of Numerators as per given numbers 45/660, 2456/3336 is

LCM of Numerators i.e. for 45,2456 is 110520

GCF of denominators i.e. for 660,3336 is 12.

Thus, LCM of Fractions is 9210.Finally, LCM of Fractions for 45/660, 2456/3336 is 9210.