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 15, 66, 68, 85, 38 i.e. 213180 smallest integer divisible by all numbers.
Least common multiple (LCM) of 15, 66, 68, 85, 38 is 213180.
LCM(15, 66, 68, 85, 38) = 213180
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 15, 66, 68, 85, 38 |
3 | 15, 33, 34, 85, 19 |
5 | 5, 11, 34, 85, 19 |
17 | 1, 11, 34, 17, 19 |
1, 11, 2, 1, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 11 x 2 x 1 x 19 = 213180
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 15,66,68,85,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,66,68,85,38) = 1
common factors(in case of two or more numbers have common factors) = 1020
GCF(15,66,68,85,38) x common factors =1 x 1020 = 1020
LCM(15,66,68,85,38) = ( 15 × 66 × 68 × 85 × 38 ) / 1020
LCM(15,66,68,85,38) = 217443600 / 1020
LCM(15,66,68,85,38) = 213180
∴ Least Common Multiple of 15,66,68,85,38 is 213180
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 15, 66, 68, 85, 38?
Answer: LCM of 15, 66, 68, 85, 38 is 213180.
2. What are the Factors of 213180?
Answer: Factors of 213180 are . There are integers that are factors of 213180
3. How to Find the LCM of 15, 66, 68, 85, 38 ?
Least Common Multiple of 15, 66, 68, 85, 38.
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(15, 66, 68, 85, 38) = 2 x 2 x 3 x 5 x 11 x 17 x 19 = 213180.