Least Common Multiple of 432/621, 5301/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/621, 5301/630 quickly i.e. 28272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/621, 5301/630 is 28272.

LCM(432/621, 5301/630) = 28272

LCM of 432/621, 5301/630

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 432/621,5301/630

Given numbers are 432/621,5301/630

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 432,5301

Least Common Multiple of Numerators i.e. LCM of 432,5301 is 254448.

GCF of Denominators means GCF of 621,630 as per the given fractions.

GCF of 621,630 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,5301

LCM of Fractions 432/621,5301/630 is 28272

3 432, 5301
3 144, 1767
48, 589

∴ So the LCM of the given numbers is 3 x 3 x 48 x 589 = 254448

Least Common Multiple of 432,5301 with GCF Formula

Least Common Multiple of 432,5301 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 432,5301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,5301) = 9

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

GCF(432,5301) x common factors =9 x 1 = 9

LCM(432,5301) = ( 432 × 5301 ) / 9

LCM(432,5301) = 2290032 / 9

LCM(432,5301) = 254448


Lets's calculate GCF of 621,630

3 621, 630
3 207, 210
69, 70

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254448/9

Therefore the LCM of Fractions 432/621,5301/630 is 28272

Greatest Common Factor of 621,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,630 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 621,630 . The biggest common factor number is the GCF number.
So the greatest common factor 621,630 is 9.


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 432/621, 5301/630

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 432/621, 5301/630?

Answer: LCM of Numerators as per given numbers 432/621, 5301/630 is

LCM of Numerators i.e. for 432,5301 is 254448

GCF of denominators i.e. for 621,630 is 9.

Thus, LCM of Fractions is 28272.Finally, LCM of Fractions for 432/621, 5301/630 is 28272.