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 87, 40, 72, 324 i.e. 93960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 87, 40, 72, 324 is 93960.
LCM(87, 40, 72, 324) = 93960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 87, 40, 72, 324 |
2 | 87, 20, 36, 162 |
2 | 87, 10, 18, 81 |
3 | 87, 5, 9, 81 |
3 | 29, 5, 3, 27 |
29, 5, 1, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 29 x 5 x 1 x 9 = 93960
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 87,40,72,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,40,72,324) = 1
common factors(in case of two or more numbers have common factors) = 864
GCF(87,40,72,324) x common factors =1 x 864 = 864
LCM(87,40,72,324) = ( 87 × 40 × 72 × 324 ) / 864
LCM(87,40,72,324) = 81181440 / 864
LCM(87,40,72,324) = 93960
∴ Least Common Multiple of 87,40,72,324 is 93960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 87, 40, 72, 324?
Answer: LCM of 87, 40, 72, 324 is 93960.
2. What are the Factors of 93960?
Answer: Factors of 93960 are . There are integers that are factors of 93960
3. How to Find the LCM of 87, 40, 72, 324 ?
Least Common Multiple of 87, 40, 72, 324.
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(87, 40, 72, 324) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 29 = 93960.