Least Common Multiple of 2100/343, 8473/2463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2100/343, 8473/2463 quickly i.e. 17793300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2100/343, 8473/2463 is 17793300.

LCM(2100/343, 8473/2463) = 17793300

LCM of 2100/343, 8473/2463

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 2100/343,8473/2463

Given numbers are 2100/343,8473/2463

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 2100,8473

Least Common Multiple of Numerators i.e. LCM of 2100,8473 is 17793300.

GCF of Denominators means GCF of 343,2463 as per the given fractions.

GCF of 343,2463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2100,8473

LCM of Fractions 2100/343,8473/2463 is 17793300

Given numbers has no common factors except 1. So, there LCM is their product i.e 17793300

Least Common Multiple of 2100,8473 with GCF Formula

Least Common Multiple of 2100,8473 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 2100,8473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2100,8473) = 1

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

GCF(2100,8473) x common factors =1 x 1 = 1

LCM(2100,8473) = ( 2100 × 8473 ) / 1

LCM(2100,8473) = 17793300 / 1

LCM(2100,8473) = 17793300


Lets's calculate GCF of 343,2463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17793300/1

Therefore the LCM of Fractions 2100/343,8473/2463 is 17793300

Greatest Common Factor of 343,2463 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,2463 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1,3,821,2463

Greatest Common Factor

We found the factors 343,2463 . The biggest common factor number is the GCF number.
So the greatest common factor 343,2463 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 2100/343, 8473/2463

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 2100/343, 8473/2463?

Answer: LCM of Numerators as per given numbers 2100/343, 8473/2463 is

LCM of Numerators i.e. for 2100,8473 is 17793300

GCF of denominators i.e. for 343,2463 is 1.

Thus, LCM of Fractions is 17793300.Finally, LCM of Fractions for 2100/343, 8473/2463 is 17793300.