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 47, 32, 47, 216 i.e. 40608 smallest integer divisible by all numbers.
Least common multiple (LCM) of 47, 32, 47, 216 is 40608.
LCM(47, 32, 47, 216) = 40608
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 47, 32, 47, 216 |
2 | 47, 16, 47, 108 |
2 | 47, 8, 47, 54 |
47 | 47, 4, 47, 27 |
1, 4, 1, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 1 x 4 x 1 x 27 = 40608
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 47,32,47,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,32,47,216) = 1
common factors(in case of two or more numbers have common factors) = 376
GCF(47,32,47,216) x common factors =1 x 376 = 376
LCM(47,32,47,216) = ( 47 × 32 × 47 × 216 ) / 376
LCM(47,32,47,216) = 15268608 / 376
LCM(47,32,47,216) = 40608
∴ Least Common Multiple of 47,32,47,216 is 40608
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 47, 32, 47, 216?
Answer: LCM of 47, 32, 47, 216 is 40608.
2. What are the Factors of 40608?
Answer: Factors of 40608 are . There are integers that are factors of 40608
3. How to Find the LCM of 47, 32, 47, 216 ?
Least Common Multiple of 47, 32, 47, 216.
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(47, 32, 47, 216) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 = 40608.