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 27, 10, 66, 306 i.e. 50490 smallest integer divisible by all numbers.
Least common multiple (LCM) of 27, 10, 66, 306 is 50490.
LCM(27, 10, 66, 306) = 50490
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 27, 10, 66, 306 |
3 | 27, 5, 33, 153 |
3 | 9, 5, 11, 51 |
3, 5, 11, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 11 x 17 = 50490
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 27,10,66,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,10,66,306) = 1
common factors(in case of two or more numbers have common factors) = 108
GCF(27,10,66,306) x common factors =1 x 108 = 108
LCM(27,10,66,306) = ( 27 × 10 × 66 × 306 ) / 108
LCM(27,10,66,306) = 5452920 / 108
LCM(27,10,66,306) = 50490
∴ Least Common Multiple of 27,10,66,306 is 50490
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 27, 10, 66, 306?
Answer: LCM of 27, 10, 66, 306 is 50490.
2. What are the Factors of 50490?
Answer: Factors of 50490 are . There are integers that are factors of 50490
3. How to Find the LCM of 27, 10, 66, 306 ?
Least Common Multiple of 27, 10, 66, 306.
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(27, 10, 66, 306) = 2 x 3 x 3 x 3 x 5 x 11 x 17 = 50490.