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 540, 639, 18 i.e. 38340 smallest integer divisible by all numbers.
Least common multiple (LCM) of 540, 639, 18 is 38340.
LCM(540, 639, 18) = 38340
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 540, 639, 18 |
3 | 270, 639, 9 |
3 | 90, 213, 3 |
30, 71, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 30 x 71 x 1 = 38340
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 540,639,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,639,18) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(540,639,18) x common factors =9 x 18 = 162
LCM(540,639,18) = ( 540 × 639 × 18 ) / 162
LCM(540,639,18) = 6211080 / 162
LCM(540,639,18) = 38340
∴ Least Common Multiple of 540,639,18 is 38340
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 540, 639, 18?
Answer: LCM of 540, 639, 18 is 38340.
2. What are the Factors of 38340?
Answer: Factors of 38340 are . There are integers that are factors of 38340
3. How to Find the LCM of 540, 639, 18 ?
Least Common Multiple of 540, 639, 18.
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(540, 639, 18) = 2 x 2 x 3 x 3 x 3 x 5 x 71 = 38340.