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 901, 384, 384, 499, 846 i.e. 24343088256 smallest integer divisible by all numbers.
Least common multiple (LCM) of 901, 384, 384, 499, 846 is 24343088256.
LCM(901, 384, 384, 499, 846) = 24343088256
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 901, 384, 384, 499, 846 |
2 | 901, 192, 192, 499, 423 |
2 | 901, 96, 96, 499, 423 |
2 | 901, 48, 48, 499, 423 |
2 | 901, 24, 24, 499, 423 |
2 | 901, 12, 12, 499, 423 |
2 | 901, 6, 6, 499, 423 |
3 | 901, 3, 3, 499, 423 |
901, 1, 1, 499, 141 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 901 x 1 x 1 x 499 x 141 = 24343088256
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 901,384,384,499,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,384,384,499,846) = 1
common factors(in case of two or more numbers have common factors) = 2304
GCF(901,384,384,499,846) x common factors =1 x 2304 = 2304
LCM(901,384,384,499,846) = ( 901 × 384 × 384 × 499 × 846 ) / 2304
LCM(901,384,384,499,846) = 56086475341824 / 2304
LCM(901,384,384,499,846) = 24343088256
∴ Least Common Multiple of 901,384,384,499,846 is 24343088256
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 384, 384, 499, 846?
Answer: LCM of 901, 384, 384, 499, 846 is 24343088256.
2. What are the Factors of 24343088256?
Answer: Factors of 24343088256 are . There are integers that are factors of 24343088256
3. How to Find the LCM of 901, 384, 384, 499, 846 ?
Least Common Multiple of 901, 384, 384, 499, 846.
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(901, 384, 384, 499, 846) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 47 x 53 x 499 = 24343088256.