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 864, 414, 480 i.e. 99360 smallest integer divisible by all numbers.
Least common multiple (LCM) of 864, 414, 480 is 99360.
LCM(864, 414, 480) = 99360
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 864, 414, 480 |
2 | 432, 207, 240 |
2 | 216, 207, 120 |
2 | 108, 207, 60 |
2 | 54, 207, 30 |
3 | 27, 207, 15 |
3 | 9, 69, 5 |
3, 23, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23 x 5 = 99360
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 864,414,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,414,480) = 6
common factors(in case of two or more numbers have common factors) = 288
GCF(864,414,480) x common factors =6 x 288 = 1728
LCM(864,414,480) = ( 864 × 414 × 480 ) / 1728
LCM(864,414,480) = 171694080 / 1728
LCM(864,414,480) = 99360
∴ Least Common Multiple of 864,414,480 is 99360
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 414, 480?
Answer: LCM of 864, 414, 480 is 99360.
2. What are the Factors of 99360?
Answer: Factors of 99360 are . There are integers that are factors of 99360
3. How to Find the LCM of 864, 414, 480 ?
Least Common Multiple of 864, 414, 480.
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(864, 414, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 23 = 99360.