Least Common Multiple of 3218/822, 6534/2272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3218/822, 6534/2272 quickly i.e. 5256603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3218/822, 6534/2272 is 5256603.

LCM(3218/822, 6534/2272) = 5256603

LCM of 3218/822, 6534/2272

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 3218/822,6534/2272

Given numbers are 3218/822,6534/2272

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 3218,6534

Least Common Multiple of Numerators i.e. LCM of 3218,6534 is 10513206.

GCF of Denominators means GCF of 822,2272 as per the given fractions.

GCF of 822,2272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3218,6534

LCM of Fractions 3218/822,6534/2272 is 5256603

2 3218, 6534
1609, 3267

∴ So the LCM of the given numbers is 2 x 1609 x 3267 = 10513206

Least Common Multiple of 3218,6534 with GCF Formula

Least Common Multiple of 3218,6534 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 3218,6534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3218,6534) = 2

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

GCF(3218,6534) x common factors =2 x 1 = 2

LCM(3218,6534) = ( 3218 × 6534 ) / 2

LCM(3218,6534) = 21026412 / 2

LCM(3218,6534) = 10513206


Lets's calculate GCF of 822,2272

2 822, 2272
411, 1136

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10513206/2

Therefore the LCM of Fractions 3218/822,6534/2272 is 5256603

Greatest Common Factor of 822,2272 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,2272 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1,2,4,8,16,32,71,142,284,568,1136,2272

Greatest Common Factor

We found the factors 822,2272 . The biggest common factor number is the GCF number.
So the greatest common factor 822,2272 is 2.


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 3218/822, 6534/2272

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 3218/822, 6534/2272?

Answer: LCM of Numerators as per given numbers 3218/822, 6534/2272 is

LCM of Numerators i.e. for 3218,6534 is 10513206

GCF of denominators i.e. for 822,2272 is 2.

Thus, LCM of Fractions is 5256603.Finally, LCM of Fractions for 3218/822, 6534/2272 is 5256603.