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 609, 405, 735 i.e. 575505 smallest integer divisible by all numbers.
Least common multiple (LCM) of 609, 405, 735 is 575505.
LCM(609, 405, 735) = 575505
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 609, 405, 735 |
5 | 203, 135, 245 |
7 | 203, 27, 49 |
29, 27, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 29 x 27 x 7 = 575505
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 609,405,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,405,735) = 3
common factors(in case of two or more numbers have common factors) = 105
GCF(609,405,735) x common factors =3 x 105 = 315
LCM(609,405,735) = ( 609 × 405 × 735 ) / 315
LCM(609,405,735) = 181284075 / 315
LCM(609,405,735) = 575505
∴ Least Common Multiple of 609,405,735 is 575505
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 405, 735?
Answer: LCM of 609, 405, 735 is 575505.
2. What are the Factors of 575505?
Answer: Factors of 575505 are . There are integers that are factors of 575505
3. How to Find the LCM of 609, 405, 735 ?
Least Common Multiple of 609, 405, 735.
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(609, 405, 735) = 3 x 3 x 3 x 3 x 5 x 7 x 7 x 29 = 575505.