Least Common Multiple of 312/20, 1587/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/20, 1587/622 quickly i.e. 82524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/20, 1587/622 is 82524.

LCM(312/20, 1587/622) = 82524

LCM of 312/20, 1587/622

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 312/20,1587/622

Given numbers are 312/20,1587/622

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 312,1587

Least Common Multiple of Numerators i.e. LCM of 312,1587 is 165048.

GCF of Denominators means GCF of 20,622 as per the given fractions.

GCF of 20,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,1587

LCM of Fractions 312/20,1587/622 is 82524

3 312, 1587
104, 529

∴ So the LCM of the given numbers is 3 x 104 x 529 = 165048

Least Common Multiple of 312,1587 with GCF Formula

Least Common Multiple of 312,1587 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 312,1587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,1587) = 3

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

GCF(312,1587) x common factors =3 x 1 = 3

LCM(312,1587) = ( 312 × 1587 ) / 3

LCM(312,1587) = 495144 / 3

LCM(312,1587) = 165048


Lets's calculate GCF of 20,622

2 20, 622
10, 311

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165048/2

Therefore the LCM of Fractions 312/20,1587/622 is 82524

Greatest Common Factor of 20,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,622 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 20,622 . The biggest common factor number is the GCF number.
So the greatest common factor 20,622 is 2.


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 312/20, 1587/622

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 312/20, 1587/622?

Answer: LCM of Numerators as per given numbers 312/20, 1587/622 is

LCM of Numerators i.e. for 312,1587 is 165048

GCF of denominators i.e. for 20,622 is 2.

Thus, LCM of Fractions is 82524.Finally, LCM of Fractions for 312/20, 1587/622 is 82524.