Least Common Multiple of 8467/213, 2806/4620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8467/213, 2806/4620 quickly i.e. 23758402/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8467/213, 2806/4620 is 23758402/3.

LCM(8467/213, 2806/4620) = 23758402/3

LCM of 8467/213, 2806/4620

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 8467/213,2806/4620

Given numbers are 8467/213,2806/4620

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 8467,2806

Least Common Multiple of Numerators i.e. LCM of 8467,2806 is 23758402.

GCF of Denominators means GCF of 213,4620 as per the given fractions.

GCF of 213,4620 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8467,2806

LCM of Fractions 8467/213,2806/4620 is 23758402/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 23758402

Least Common Multiple of 8467,2806 with GCF Formula

Least Common Multiple of 8467,2806 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 8467,2806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8467,2806) = 1

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

GCF(8467,2806) x common factors =1 x 1 = 1

LCM(8467,2806) = ( 8467 × 2806 ) / 1

LCM(8467,2806) = 23758402 / 1

LCM(8467,2806) = 23758402


Lets's calculate GCF of 213,4620

3 213, 4620
71, 1540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23758402/3

Therefore the LCM of Fractions 8467/213,2806/4620 is 23758402/3

Greatest Common Factor of 213,4620 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,4620 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 4620

List of positive integer factors of 4620 that divides 4620 without a remainder.

1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620

Greatest Common Factor

We found the factors 213,4620 . The biggest common factor number is the GCF number.
So the greatest common factor 213,4620 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 8467/213, 2806/4620

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 8467/213, 2806/4620?

Answer: LCM of Numerators as per given numbers 8467/213, 2806/4620 is

LCM of Numerators i.e. for 8467,2806 is 23758402

GCF of denominators i.e. for 213,4620 is 3.

Thus, LCM of Fractions is 23758402/3.Finally, LCM of Fractions for 8467/213, 2806/4620 is 23758402/3.