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 80, 90, 384 i.e. 5760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 80, 90, 384 is 5760.
LCM(80, 90, 384) = 5760
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 80, 90, 384 |
2 | 40, 45, 192 |
2 | 20, 45, 96 |
2 | 10, 45, 48 |
3 | 5, 45, 24 |
5 | 5, 15, 8 |
1, 3, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 3 x 8 = 5760
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 80,90,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,90,384) = 2
common factors(in case of two or more numbers have common factors) = 240
GCF(80,90,384) x common factors =2 x 240 = 480
LCM(80,90,384) = ( 80 × 90 × 384 ) / 480
LCM(80,90,384) = 2764800 / 480
LCM(80,90,384) = 5760
∴ Least Common Multiple of 80,90,384 is 5760
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 80, 90, 384?
Answer: LCM of 80, 90, 384 is 5760.
2. What are the Factors of 5760?
Answer: Factors of 5760 are . There are integers that are factors of 5760
3. How to Find the LCM of 80, 90, 384 ?
Least Common Multiple of 80, 90, 384.
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(80, 90, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 5760.