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 489, 362, 410 i.e. 36288690 smallest integer divisible by all numbers.
Least common multiple (LCM) of 489, 362, 410 is 36288690.
LCM(489, 362, 410) = 36288690
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 489, 362, 410 |
489, 181, 205 |
∴ So the LCM of the given numbers is 2 x 489 x 181 x 205 = 36288690
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 489,362,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,362,410) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(489,362,410) x common factors =1 x 2 = 2
LCM(489,362,410) = ( 489 × 362 × 410 ) / 2
LCM(489,362,410) = 72577380 / 2
LCM(489,362,410) = 36288690
∴ Least Common Multiple of 489,362,410 is 36288690
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 489, 362, 410?
Answer: LCM of 489, 362, 410 is 36288690.
2. What are the Factors of 36288690?
Answer: Factors of 36288690 are . There are integers that are factors of 36288690
3. How to Find the LCM of 489, 362, 410 ?
Least Common Multiple of 489, 362, 410.
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(489, 362, 410) = 2 x 3 x 5 x 41 x 163 x 181 = 36288690.