Least Common Multiple of 7300/210, 4493/2208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7300/210, 4493/2208 quickly i.e. 32798900/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7300/210, 4493/2208 is 32798900/6.

LCM(7300/210, 4493/2208) = 32798900/6

LCM of 7300/210, 4493/2208

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 7300/210,4493/2208

Given numbers are 7300/210,4493/2208

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 7300,4493

Least Common Multiple of Numerators i.e. LCM of 7300,4493 is 32798900.

GCF of Denominators means GCF of 210,2208 as per the given fractions.

GCF of 210,2208 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7300,4493

LCM of Fractions 7300/210,4493/2208 is 32798900/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 32798900

Least Common Multiple of 7300,4493 with GCF Formula

Least Common Multiple of 7300,4493 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 7300,4493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7300,4493) = 1

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

GCF(7300,4493) x common factors =1 x 1 = 1

LCM(7300,4493) = ( 7300 × 4493 ) / 1

LCM(7300,4493) = 32798900 / 1

LCM(7300,4493) = 32798900


Lets's calculate GCF of 210,2208

2 210, 2208
3 105, 1104
35, 368

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32798900/6

Therefore the LCM of Fractions 7300/210,4493/2208 is 32798900/6

Greatest Common Factor of 210,2208 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,2208 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 2208

List of positive integer factors of 2208 that divides 2208 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208

Greatest Common Factor

We found the factors 210,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 210,2208 is 6.


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 7300/210, 4493/2208

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 7300/210, 4493/2208?

Answer: LCM of Numerators as per given numbers 7300/210, 4493/2208 is

LCM of Numerators i.e. for 7300,4493 is 32798900

GCF of denominators i.e. for 210,2208 is 6.

Thus, LCM of Fractions is 32798900/6.Finally, LCM of Fractions for 7300/210, 4493/2208 is 32798900/6.