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 486, 326, 828 i.e. 3644028 smallest integer divisible by all numbers.
Least common multiple (LCM) of 486, 326, 828 is 3644028.
LCM(486, 326, 828) = 3644028
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 486, 326, 828 |
3 | 243, 163, 414 |
3 | 81, 163, 138 |
27, 163, 46 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 27 x 163 x 46 = 3644028
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 486,326,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,326,828) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(486,326,828) x common factors =2 x 18 = 36
LCM(486,326,828) = ( 486 × 326 × 828 ) / 36
LCM(486,326,828) = 131185008 / 36
LCM(486,326,828) = 3644028
∴ Least Common Multiple of 486,326,828 is 3644028
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 326, 828?
Answer: LCM of 486, 326, 828 is 3644028.
2. What are the Factors of 3644028?
Answer: Factors of 3644028 are . There are integers that are factors of 3644028
3. How to Find the LCM of 486, 326, 828 ?
Least Common Multiple of 486, 326, 828.
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(486, 326, 828) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 23 x 163 = 3644028.