Least Common Multiple of 1629/355, 8643/3963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1629/355, 8643/3963 quickly i.e. 4693149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1629/355, 8643/3963 is 4693149.

LCM(1629/355, 8643/3963) = 4693149

LCM of 1629/355, 8643/3963

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 1629/355,8643/3963

Given numbers are 1629/355,8643/3963

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 1629,8643

Least Common Multiple of Numerators i.e. LCM of 1629,8643 is 4693149.

GCF of Denominators means GCF of 355,3963 as per the given fractions.

GCF of 355,3963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1629,8643

LCM of Fractions 1629/355,8643/3963 is 4693149

3 1629, 8643
543, 2881

∴ So the LCM of the given numbers is 3 x 543 x 2881 = 4693149

Least Common Multiple of 1629,8643 with GCF Formula

Least Common Multiple of 1629,8643 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 1629,8643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1629,8643) = 3

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

GCF(1629,8643) x common factors =3 x 1 = 3

LCM(1629,8643) = ( 1629 × 8643 ) / 3

LCM(1629,8643) = 14079447 / 3

LCM(1629,8643) = 4693149


Lets's calculate GCF of 355,3963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4693149/1

Therefore the LCM of Fractions 1629/355,8643/3963 is 4693149

Greatest Common Factor of 355,3963 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,3963 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 3963

List of positive integer factors of 3963 that divides 3963 without a remainder.

1,3,1321,3963

Greatest Common Factor

We found the factors 355,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 355,3963 is 1.


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 1629/355, 8643/3963

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 1629/355, 8643/3963?

Answer: LCM of Numerators as per given numbers 1629/355, 8643/3963 is

LCM of Numerators i.e. for 1629,8643 is 4693149

GCF of denominators i.e. for 355,3963 is 1.

Thus, LCM of Fractions is 4693149.Finally, LCM of Fractions for 1629/355, 8643/3963 is 4693149.