Least Common Multiple of 483/855, 7412/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 483/855, 7412/321 quickly i.e. 1193332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/855, 7412/321 is 1193332.

LCM(483/855, 7412/321) = 1193332

LCM of 483/855, 7412/321

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 483/855,7412/321

Given numbers are 483/855,7412/321

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 483,7412

Least Common Multiple of Numerators i.e. LCM of 483,7412 is 3579996.

GCF of Denominators means GCF of 855,321 as per the given fractions.

GCF of 855,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,7412

LCM of Fractions 483/855,7412/321 is 1193332

Given numbers has no common factors except 1. So, there LCM is their product i.e 3579996

Least Common Multiple of 483,7412 with GCF Formula

Least Common Multiple of 483,7412 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 483,7412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,7412) = 1

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

GCF(483,7412) x common factors =1 x 1 = 1

LCM(483,7412) = ( 483 × 7412 ) / 1

LCM(483,7412) = 3579996 / 1

LCM(483,7412) = 3579996


Lets's calculate GCF of 855,321

3 855, 321
285, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3579996/3

Therefore the LCM of Fractions 483/855,7412/321 is 1193332

Greatest Common Factor of 855,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,321 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 855,321 . The biggest common factor number is the GCF number.
So the greatest common factor 855,321 is 3.


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 483/855, 7412/321

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 483/855, 7412/321?

Answer: LCM of Numerators as per given numbers 483/855, 7412/321 is

LCM of Numerators i.e. for 483,7412 is 3579996

GCF of denominators i.e. for 855,321 is 3.

Thus, LCM of Fractions is 1193332.Finally, LCM of Fractions for 483/855, 7412/321 is 1193332.