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 578, 564, 865, 496, 527 i.e. 17482950960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 578, 564, 865, 496, 527 is 17482950960.
LCM(578, 564, 865, 496, 527) = 17482950960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 578, 564, 865, 496, 527 |
2 | 289, 282, 865, 248, 527 |
17 | 289, 141, 865, 124, 527 |
31 | 17, 141, 865, 124, 31 |
17, 141, 865, 4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 31 x 17 x 141 x 865 x 4 x 1 = 17482950960
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 578,564,865,496,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,564,865,496,527) = 1
common factors(in case of two or more numbers have common factors) = 4216
GCF(578,564,865,496,527) x common factors =1 x 4216 = 4216
LCM(578,564,865,496,527) = ( 578 × 564 × 865 × 496 × 527 ) / 4216
LCM(578,564,865,496,527) = 73708121247360 / 4216
LCM(578,564,865,496,527) = 17482950960
∴ Least Common Multiple of 578,564,865,496,527 is 17482950960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 564, 865, 496, 527?
Answer: LCM of 578, 564, 865, 496, 527 is 17482950960.
2. What are the Factors of 17482950960?
Answer: Factors of 17482950960 are . There are integers that are factors of 17482950960
3. How to Find the LCM of 578, 564, 865, 496, 527 ?
Least Common Multiple of 578, 564, 865, 496, 527.
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(578, 564, 865, 496, 527) = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 17 x 31 x 47 x 173 = 17482950960.