Least Common Multiple of 639/96, 693/4863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 639/96, 693/4863 quickly i.e. 16401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 639/96, 693/4863 is 16401.

LCM(639/96, 693/4863) = 16401

LCM of 639/96, 693/4863

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 639/96,693/4863

Given numbers are 639/96,693/4863

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 639,693

Least Common Multiple of Numerators i.e. LCM of 639,693 is 49203.

GCF of Denominators means GCF of 96,4863 as per the given fractions.

GCF of 96,4863 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 639,693

LCM of Fractions 639/96,693/4863 is 16401

3 639, 693
3 213, 231
71, 77

∴ So the LCM of the given numbers is 3 x 3 x 71 x 77 = 49203

Least Common Multiple of 639,693 with GCF Formula

Least Common Multiple of 639,693 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 639,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,693) = 9

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

GCF(639,693) x common factors =9 x 1 = 9

LCM(639,693) = ( 639 × 693 ) / 9

LCM(639,693) = 442827 / 9

LCM(639,693) = 49203


Lets's calculate GCF of 96,4863

3 96, 4863
32, 1621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49203/3

Therefore the LCM of Fractions 639/96,693/4863 is 16401

Greatest Common Factor of 96,4863 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,4863 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 4863

List of positive integer factors of 4863 that divides 4863 without a remainder.

1,3,1621,4863

Greatest Common Factor

We found the factors 96,4863 . The biggest common factor number is the GCF number.
So the greatest common factor 96,4863 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 639/96, 693/4863

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 639/96, 693/4863?

Answer: LCM of Numerators as per given numbers 639/96, 693/4863 is

LCM of Numerators i.e. for 639,693 is 49203

GCF of denominators i.e. for 96,4863 is 3.

Thus, LCM of Fractions is 16401.Finally, LCM of Fractions for 639/96, 693/4863 is 16401.