Least Common Multiple of 990/25, 234/3971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 990/25, 234/3971 quickly i.e. 12870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/25, 234/3971 is 12870.

LCM(990/25, 234/3971) = 12870

LCM of 990/25, 234/3971

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 990/25,234/3971

Given numbers are 990/25,234/3971

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 990,234

Least Common Multiple of Numerators i.e. LCM of 990,234 is 12870.

GCF of Denominators means GCF of 25,3971 as per the given fractions.

GCF of 25,3971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,234

LCM of Fractions 990/25,234/3971 is 12870

2 990, 234
3 495, 117
3 165, 39
55, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 55 x 13 = 12870

Least Common Multiple of 990,234 with GCF Formula

Least Common Multiple of 990,234 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 990,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,234) = 18

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

GCF(990,234) x common factors =18 x 1 = 18

LCM(990,234) = ( 990 × 234 ) / 18

LCM(990,234) = 231660 / 18

LCM(990,234) = 12870


Lets's calculate GCF of 25,3971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12870/1

Therefore the LCM of Fractions 990/25,234/3971 is 12870

Greatest Common Factor of 25,3971 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,3971 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 3971

List of positive integer factors of 3971 that divides 3971 without a remainder.

1,11,19,209,361,3971

Greatest Common Factor

We found the factors 25,3971 . The biggest common factor number is the GCF number.
So the greatest common factor 25,3971 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 990/25, 234/3971

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 990/25, 234/3971?

Answer: LCM of Numerators as per given numbers 990/25, 234/3971 is

LCM of Numerators i.e. for 990,234 is 12870

GCF of denominators i.e. for 25,3971 is 1.

Thus, LCM of Fractions is 12870.Finally, LCM of Fractions for 990/25, 234/3971 is 12870.