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 396, 816, 578 i.e. 457776 smallest integer divisible by all numbers.
Least common multiple (LCM) of 396, 816, 578 is 457776.
LCM(396, 816, 578) = 457776
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 396, 816, 578 |
2 | 198, 408, 289 |
3 | 99, 204, 289 |
17 | 33, 68, 289 |
33, 4, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 33 x 4 x 17 = 457776
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 396,816,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,816,578) = 2
common factors(in case of two or more numbers have common factors) = 204
GCF(396,816,578) x common factors =2 x 204 = 408
LCM(396,816,578) = ( 396 × 816 × 578 ) / 408
LCM(396,816,578) = 186772608 / 408
LCM(396,816,578) = 457776
∴ Least Common Multiple of 396,816,578 is 457776
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 816, 578?
Answer: LCM of 396, 816, 578 is 457776.
2. What are the Factors of 457776?
Answer: Factors of 457776 are . There are integers that are factors of 457776
3. How to Find the LCM of 396, 816, 578 ?
Least Common Multiple of 396, 816, 578.
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(396, 816, 578) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 17 = 457776.