Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 806, 728, 28 i.e. 22568 smallest integer divisible by all numbers.
Least common multiple (LCM) of 806, 728, 28 is 22568.
LCM(806, 728, 28) = 22568
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 806, 728, 28 |
2 | 403, 364, 14 |
7 | 403, 182, 7 |
13 | 403, 26, 1 |
31, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 31 x 2 x 1 = 22568
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 806,728,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,728,28) = 2
common factors(in case of two or more numbers have common factors) = 364
GCF(806,728,28) x common factors =2 x 364 = 728
LCM(806,728,28) = ( 806 × 728 × 28 ) / 728
LCM(806,728,28) = 16429504 / 728
LCM(806,728,28) = 22568
∴ Least Common Multiple of 806,728,28 is 22568
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 728, 28?
Answer: LCM of 806, 728, 28 is 22568.
2. What are the Factors of 22568?
Answer: Factors of 22568 are . There are integers that are factors of 22568
3. How to Find the LCM of 806, 728, 28 ?
Least Common Multiple of 806, 728, 28.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(806, 728, 28) = 2 x 2 x 2 x 7 x 13 x 31 = 22568.