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 510, 445, 459 i.e. 408510 smallest integer divisible by all numbers.
Least common multiple (LCM) of 510, 445, 459 is 408510.
LCM(510, 445, 459) = 408510
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 510, 445, 459 |
5 | 170, 445, 153 |
17 | 34, 89, 153 |
2, 89, 9 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 2 x 89 x 9 = 408510
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 510,445,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,445,459) = 1
common factors(in case of two or more numbers have common factors) = 255
GCF(510,445,459) x common factors =1 x 255 = 255
LCM(510,445,459) = ( 510 × 445 × 459 ) / 255
LCM(510,445,459) = 104170050 / 255
LCM(510,445,459) = 408510
∴ Least Common Multiple of 510,445,459 is 408510
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 445, 459?
Answer: LCM of 510, 445, 459 is 408510.
2. What are the Factors of 408510?
Answer: Factors of 408510 are . There are integers that are factors of 408510
3. How to Find the LCM of 510, 445, 459 ?
Least Common Multiple of 510, 445, 459.
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(510, 445, 459) = 2 x 3 x 3 x 3 x 5 x 17 x 89 = 408510.