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 1600, 5200 i.e. 20800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1600, 5200 is 20800.
LCM(1600, 5200) = 20800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 1600, 5200 |
2 | 800, 2600 |
2 | 400, 1300 |
2 | 200, 650 |
5 | 100, 325 |
5 | 20, 65 |
4, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 4 x 13 = 20800
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 1600,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1600,5200) = 400
common factors(in case of two or more numbers have common factors) = 1
GCF(1600,5200) x common factors =400 x 1 = 400
LCM(1600,5200) = ( 1600 × 5200 ) / 400
LCM(1600,5200) = 8320000 / 400
LCM(1600,5200) = 20800
∴ Least Common Multiple of 1600,5200 is 20800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1600, 5200?
Answer: LCM of 1600, 5200 is 20800.
2. What are the Factors of 20800?
Answer: Factors of 20800 are . There are integers that are factors of 20800
3. How to Find the LCM of 1600, 5200 ?
Least Common Multiple of 1600, 5200.
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(1600, 5200) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 = 20800.