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 582, 527, 343, 814, 616 i.e. 171270324456 smallest integer divisible by all numbers.
Least common multiple (LCM) of 582, 527, 343, 814, 616 is 171270324456.
LCM(582, 527, 343, 814, 616) = 171270324456
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 582, 527, 343, 814, 616 |
7 | 291, 527, 343, 407, 308 |
11 | 291, 527, 49, 407, 44 |
291, 527, 49, 37, 4 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 291 x 527 x 49 x 37 x 4 = 171270324456
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 582,527,343,814,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,527,343,814,616) = 1
common factors(in case of two or more numbers have common factors) = 308
GCF(582,527,343,814,616) x common factors =1 x 308 = 308
LCM(582,527,343,814,616) = ( 582 × 527 × 343 × 814 × 616 ) / 308
LCM(582,527,343,814,616) = 52751259932448 / 308
LCM(582,527,343,814,616) = 171270324456
∴ Least Common Multiple of 582,527,343,814,616 is 171270324456
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 527, 343, 814, 616?
Answer: LCM of 582, 527, 343, 814, 616 is 171270324456.
2. What are the Factors of 171270324456?
Answer: Factors of 171270324456 are . There are integers that are factors of 171270324456
3. How to Find the LCM of 582, 527, 343, 814, 616 ?
Least Common Multiple of 582, 527, 343, 814, 616.
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(582, 527, 343, 814, 616) = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 x 17 x 31 x 37 x 97 = 171270324456.