Least Common Multiple of 45/990, 3314/4113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/990, 3314/4113 quickly i.e. 16570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/990, 3314/4113 is 16570.

LCM(45/990, 3314/4113) = 16570

LCM of 45/990, 3314/4113

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 45/990,3314/4113

Given numbers are 45/990,3314/4113

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 45,3314

Least Common Multiple of Numerators i.e. LCM of 45,3314 is 149130.

GCF of Denominators means GCF of 990,4113 as per the given fractions.

GCF of 990,4113 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3314

LCM of Fractions 45/990,3314/4113 is 16570

Given numbers has no common factors except 1. So, there LCM is their product i.e 149130

Least Common Multiple of 45,3314 with GCF Formula

Least Common Multiple of 45,3314 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 45,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3314) = 1

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

GCF(45,3314) x common factors =1 x 1 = 1

LCM(45,3314) = ( 45 × 3314 ) / 1

LCM(45,3314) = 149130 / 1

LCM(45,3314) = 149130


Lets's calculate GCF of 990,4113

3 990, 4113
3 330, 1371
110, 457

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149130/9

Therefore the LCM of Fractions 45/990,3314/4113 is 16570

Greatest Common Factor of 990,4113 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,4113 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 4113

List of positive integer factors of 4113 that divides 4113 without a remainder.

1,3,9,457,1371,4113

Greatest Common Factor

We found the factors 990,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 990,4113 is 9.


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 45/990, 3314/4113

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 45/990, 3314/4113?

Answer: LCM of Numerators as per given numbers 45/990, 3314/4113 is

LCM of Numerators i.e. for 45,3314 is 149130

GCF of denominators i.e. for 990,4113 is 9.

Thus, LCM of Fractions is 16570.Finally, LCM of Fractions for 45/990, 3314/4113 is 16570.