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 303, 216, 814, 487, 576 i.e. 34593020352 smallest integer divisible by all numbers.
Least common multiple (LCM) of 303, 216, 814, 487, 576 is 34593020352.
LCM(303, 216, 814, 487, 576) = 34593020352
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 303, 216, 814, 487, 576 |
2 | 303, 108, 407, 487, 288 |
2 | 303, 54, 407, 487, 144 |
3 | 303, 27, 407, 487, 72 |
3 | 101, 9, 407, 487, 24 |
101, 3, 407, 487, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 101 x 3 x 407 x 487 x 8 = 34593020352
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 303,216,814,487,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,216,814,487,576) = 1
common factors(in case of two or more numbers have common factors) = 432
GCF(303,216,814,487,576) x common factors =1 x 432 = 432
LCM(303,216,814,487,576) = ( 303 × 216 × 814 × 487 × 576 ) / 432
LCM(303,216,814,487,576) = 14944184792064 / 432
LCM(303,216,814,487,576) = 34593020352
∴ Least Common Multiple of 303,216,814,487,576 is 34593020352
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 216, 814, 487, 576?
Answer: LCM of 303, 216, 814, 487, 576 is 34593020352.
2. What are the Factors of 34593020352?
Answer: Factors of 34593020352 are . There are integers that are factors of 34593020352
3. How to Find the LCM of 303, 216, 814, 487, 576 ?
Least Common Multiple of 303, 216, 814, 487, 576.
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(303, 216, 814, 487, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 37 x 101 x 487 = 34593020352.