Least Common Multiple of 6300/444, 8673/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6300/444, 8673/351 quickly i.e. 867300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6300/444, 8673/351 is 867300.

LCM(6300/444, 8673/351) = 867300

LCM of 6300/444, 8673/351

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 6300/444,8673/351

Given numbers are 6300/444,8673/351

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 6300,8673

Least Common Multiple of Numerators i.e. LCM of 6300,8673 is 2601900.

GCF of Denominators means GCF of 444,351 as per the given fractions.

GCF of 444,351 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6300,8673

LCM of Fractions 6300/444,8673/351 is 867300

3 6300, 8673
7 2100, 2891
300, 413

∴ So the LCM of the given numbers is 3 x 7 x 300 x 413 = 2601900

Least Common Multiple of 6300,8673 with GCF Formula

Least Common Multiple of 6300,8673 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 6300,8673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6300,8673) = 21

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

GCF(6300,8673) x common factors =21 x 1 = 21

LCM(6300,8673) = ( 6300 × 8673 ) / 21

LCM(6300,8673) = 54639900 / 21

LCM(6300,8673) = 2601900


Lets's calculate GCF of 444,351

3 444, 351
148, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2601900/3

Therefore the LCM of Fractions 6300/444,8673/351 is 867300

Greatest Common Factor of 444,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,351 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 444,351 . The biggest common factor number is the GCF number.
So the greatest common factor 444,351 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 6300/444, 8673/351

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 6300/444, 8673/351?

Answer: LCM of Numerators as per given numbers 6300/444, 8673/351 is

LCM of Numerators i.e. for 6300,8673 is 2601900

GCF of denominators i.e. for 444,351 is 3.

Thus, LCM of Fractions is 867300.Finally, LCM of Fractions for 6300/444, 8673/351 is 867300.