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 459, 408, 99 i.e. 40392 smallest integer divisible by all numbers.
Least common multiple (LCM) of 459, 408, 99 is 40392.
LCM(459, 408, 99) = 40392
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 459, 408, 99 |
3 | 153, 136, 33 |
17 | 51, 136, 11 |
3, 8, 11 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 3 x 8 x 11 = 40392
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 459,408,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,408,99) = 3
common factors(in case of two or more numbers have common factors) = 153
GCF(459,408,99) x common factors =3 x 153 = 459
LCM(459,408,99) = ( 459 × 408 × 99 ) / 459
LCM(459,408,99) = 18539928 / 459
LCM(459,408,99) = 40392
∴ Least Common Multiple of 459,408,99 is 40392
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 408, 99?
Answer: LCM of 459, 408, 99 is 40392.
2. What are the Factors of 40392?
Answer: Factors of 40392 are . There are integers that are factors of 40392
3. How to Find the LCM of 459, 408, 99 ?
Least Common Multiple of 459, 408, 99.
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(459, 408, 99) = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 17 = 40392.