Least Common Multiple of 321, 2409
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 321, 2409 i.e. 257763 smallest integer divisible by all numbers.
Least common multiple (LCM) of 321, 2409 is 257763.
LCM(321, 2409) = 257763
LCM of 321, 2409
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 321, 2409 by common division method
- Least Common Multiple of 321, 2409 with GCF Formula
Least Common Multiple (LCM) of 321,2409 is 257763
| 3 | 321, 2409 |
| 107, 803 |
∴ So the LCM of the given numbers is 3 x 107 x 803 = 257763
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 321,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,2409) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,2409) x common factors =3 x 1 = 3
LCM(321,2409) = ( 321 × 2409 ) / 3
LCM(321,2409) = 773289 / 3
LCM(321,2409) = 257763
∴ Least Common Multiple of 321,2409 is 257763
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Frequently Asked Questions on LCM of 321, 2409
1. What is the LCM of 321, 2409?
Answer: LCM of 321, 2409 is 257763.
2. What are the Factors of 257763?
Answer: Factors of 257763 are . There are integers that are factors of 257763
3. How to Find the LCM of 321, 2409 ?
Least Common Multiple of 321, 2409.
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(321, 2409) = 3 x 11 x 73 x 107 = 257763.