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 795, 800, 408, 860, 120 i.e. 92983200 smallest integer divisible by all numbers.
Least common multiple (LCM) of 795, 800, 408, 860, 120 is 92983200.
LCM(795, 800, 408, 860, 120) = 92983200
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 795, 800, 408, 860, 120 |
2 | 795, 400, 204, 430, 60 |
2 | 795, 200, 102, 215, 30 |
3 | 795, 100, 51, 215, 15 |
5 | 265, 100, 17, 215, 5 |
53, 20, 17, 43, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 53 x 20 x 17 x 43 x 1 = 92983200
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 795,800,408,860,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,800,408,860,120) = 1
common factors(in case of two or more numbers have common factors) = 288000
GCF(795,800,408,860,120) x common factors =1 x 288000 = 288000
LCM(795,800,408,860,120) = ( 795 × 800 × 408 × 860 × 120 ) / 288000
LCM(795,800,408,860,120) = 26779161600000 / 288000
LCM(795,800,408,860,120) = 92983200
∴ Least Common Multiple of 795,800,408,860,120 is 92983200
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 795, 800, 408, 860, 120?
Answer: LCM of 795, 800, 408, 860, 120 is 92983200.
2. What are the Factors of 92983200?
Answer: Factors of 92983200 are . There are integers that are factors of 92983200
3. How to Find the LCM of 795, 800, 408, 860, 120 ?
Least Common Multiple of 795, 800, 408, 860, 120.
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(795, 800, 408, 860, 120) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 43 x 53 = 92983200.