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 720, 646, 900 i.e. 1162800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 720, 646, 900 is 1162800.
LCM(720, 646, 900) = 1162800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 720, 646, 900 |
2 | 360, 323, 450 |
3 | 180, 323, 225 |
3 | 60, 323, 75 |
5 | 20, 323, 25 |
4, 323, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 4 x 323 x 5 = 1162800
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 720,646,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,646,900) = 2
common factors(in case of two or more numbers have common factors) = 180
GCF(720,646,900) x common factors =2 x 180 = 360
LCM(720,646,900) = ( 720 × 646 × 900 ) / 360
LCM(720,646,900) = 418608000 / 360
LCM(720,646,900) = 1162800
∴ Least Common Multiple of 720,646,900 is 1162800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 646, 900?
Answer: LCM of 720, 646, 900 is 1162800.
2. What are the Factors of 1162800?
Answer: Factors of 1162800 are . There are integers that are factors of 1162800
3. How to Find the LCM of 720, 646, 900 ?
Least Common Multiple of 720, 646, 900.
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(720, 646, 900) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 19 = 1162800.