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 802, 208, 162, 285, 720 i.e. 641824560 smallest integer divisible by all numbers.
Least common multiple (LCM) of 802, 208, 162, 285, 720 is 641824560.
LCM(802, 208, 162, 285, 720) = 641824560
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 802, 208, 162, 285, 720 |
2 | 401, 104, 81, 285, 360 |
2 | 401, 52, 81, 285, 180 |
2 | 401, 26, 81, 285, 90 |
3 | 401, 13, 81, 285, 45 |
3 | 401, 13, 27, 95, 15 |
5 | 401, 13, 9, 95, 5 |
401, 13, 9, 19, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 401 x 13 x 9 x 19 x 1 = 641824560
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 802,208,162,285,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,208,162,285,720) = 1
common factors(in case of two or more numbers have common factors) = 8640
GCF(802,208,162,285,720) x common factors =1 x 8640 = 8640
LCM(802,208,162,285,720) = ( 802 × 208 × 162 × 285 × 720 ) / 8640
LCM(802,208,162,285,720) = 5545364198400 / 8640
LCM(802,208,162,285,720) = 641824560
∴ Least Common Multiple of 802,208,162,285,720 is 641824560
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 208, 162, 285, 720?
Answer: LCM of 802, 208, 162, 285, 720 is 641824560.
2. What are the Factors of 641824560?
Answer: Factors of 641824560 are . There are integers that are factors of 641824560
3. How to Find the LCM of 802, 208, 162, 285, 720 ?
Least Common Multiple of 802, 208, 162, 285, 720.
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(802, 208, 162, 285, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 19 x 401 = 641824560.