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
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
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
2 | 3218, 6534 |
1609, 3267 |
∴ So the LCM of the given numbers is 2 x 1609 x 3267 = 10513206
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
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.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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.