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 322, 616, 592, 413, 459 i.e. 28392586992 smallest integer divisible by all numbers.
Least common multiple (LCM) of 322, 616, 592, 413, 459 is 28392586992.
LCM(322, 616, 592, 413, 459) = 28392586992
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 322, 616, 592, 413, 459 |
2 | 161, 308, 296, 413, 459 |
2 | 161, 154, 148, 413, 459 |
7 | 161, 77, 74, 413, 459 |
23, 11, 74, 59, 459 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 23 x 11 x 74 x 59 x 459 = 28392586992
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 322,616,592,413,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,616,592,413,459) = 1
common factors(in case of two or more numbers have common factors) = 784
GCF(322,616,592,413,459) x common factors =1 x 784 = 784
LCM(322,616,592,413,459) = ( 322 × 616 × 592 × 413 × 459 ) / 784
LCM(322,616,592,413,459) = 22259788201728 / 784
LCM(322,616,592,413,459) = 28392586992
∴ Least Common Multiple of 322,616,592,413,459 is 28392586992
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 616, 592, 413, 459?
Answer: LCM of 322, 616, 592, 413, 459 is 28392586992.
2. What are the Factors of 28392586992?
Answer: Factors of 28392586992 are . There are integers that are factors of 28392586992
3. How to Find the LCM of 322, 616, 592, 413, 459 ?
Least Common Multiple of 322, 616, 592, 413, 459.
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(322, 616, 592, 413, 459) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17 x 23 x 37 x 59 = 28392586992.