Least Common Multiple of 405, 1620
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 405, 1620 i.e. 1620 smallest integer divisible by all numbers.
Least common multiple (LCM) of 405, 1620 is 1620.
LCM(405, 1620) = 1620
LCM of 405, 1620
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 405, 1620 by common division method
- Least Common Multiple of 405, 1620 with GCF Formula
Least Common Multiple (LCM) of 405,1620 is 1620
| 3 | 405, 1620 |
| 3 | 135, 540 |
| 3 | 45, 180 |
| 3 | 15, 60 |
| 5 | 5, 20 |
| 1, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 5 x 1 x 4 = 1620
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 405,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,1620) = 405
common factors(in case of two or more numbers have common factors) = 1
GCF(405,1620) x common factors =405 x 1 = 405
LCM(405,1620) = ( 405 × 1620 ) / 405
LCM(405,1620) = 656100 / 405
LCM(405,1620) = 1620
∴ Least Common Multiple of 405,1620 is 1620
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Frequently Asked Questions on LCM of 405, 1620
1. What is the LCM of 405, 1620?
Answer: LCM of 405, 1620 is 1620.
2. What are the Factors of 1620?
Answer: Factors of 1620 are . There are integers that are factors of 1620
3. How to Find the LCM of 405, 1620 ?
Least Common Multiple of 405, 1620.
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(405, 1620) = 2 x 2 x 3 x 3 x 3 x 3 x 5 = 1620.