Least Common Multiple of 372/390, 3244/9990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 372/390, 3244/9990 quickly i.e. 301692/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 372/390, 3244/9990 is 301692/30.

LCM(372/390, 3244/9990) = 301692/30

LCM of 372/390, 3244/9990

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 372/390,3244/9990

Given numbers are 372/390,3244/9990

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 372,3244

Least Common Multiple of Numerators i.e. LCM of 372,3244 is 301692.

GCF of Denominators means GCF of 390,9990 as per the given fractions.

GCF of 390,9990 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 372,3244

LCM of Fractions 372/390,3244/9990 is 301692/30

2 372, 3244
2 186, 1622
93, 811

∴ So the LCM of the given numbers is 2 x 2 x 93 x 811 = 301692

Least Common Multiple of 372,3244 with GCF Formula

Least Common Multiple of 372,3244 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 372,3244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,3244) = 4

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

GCF(372,3244) x common factors =4 x 1 = 4

LCM(372,3244) = ( 372 × 3244 ) / 4

LCM(372,3244) = 1206768 / 4

LCM(372,3244) = 301692


Lets's calculate GCF of 390,9990

2 390, 9990
3 195, 4995
5 65, 1665
13, 333

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301692/30

Therefore the LCM of Fractions 372/390,3244/9990 is 301692/30

Greatest Common Factor of 390,9990 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,9990 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 9990

List of positive integer factors of 9990 that divides 9990 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990

Greatest Common Factor

We found the factors 390,9990 . The biggest common factor number is the GCF number.
So the greatest common factor 390,9990 is 30.


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 372/390, 3244/9990

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 372/390, 3244/9990?

Answer: LCM of Numerators as per given numbers 372/390, 3244/9990 is

LCM of Numerators i.e. for 372,3244 is 301692

GCF of denominators i.e. for 390,9990 is 30.

Thus, LCM of Fractions is 301692/30.Finally, LCM of Fractions for 372/390, 3244/9990 is 301692/30.