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 16, 21, 612 i.e. 17136 smallest integer divisible by all numbers.
Least common multiple (LCM) of 16, 21, 612 is 17136.
LCM(16, 21, 612) = 17136
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 16, 21, 612 |
2 | 8, 21, 306 |
3 | 4, 21, 153 |
4, 7, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 7 x 51 = 17136
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 16,21,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,21,612) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(16,21,612) x common factors =1 x 12 = 12
LCM(16,21,612) = ( 16 × 21 × 612 ) / 12
LCM(16,21,612) = 205632 / 12
LCM(16,21,612) = 17136
∴ Least Common Multiple of 16,21,612 is 17136
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 16, 21, 612?
Answer: LCM of 16, 21, 612 is 17136.
2. What are the Factors of 17136?
Answer: Factors of 17136 are . There are integers that are factors of 17136
3. How to Find the LCM of 16, 21, 612 ?
Least Common Multiple of 16, 21, 612.
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(16, 21, 612) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 = 17136.