Least Common Multiple of 500, 5800
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 500, 5800 i.e. 29000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 500, 5800 is 29000.
LCM(500, 5800) = 29000
LCM of 500, 5800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 500, 5800 by common division method
- Least Common Multiple of 500, 5800 with GCF Formula
Least Common Multiple (LCM) of 500,5800 is 29000
| 2 | 500, 5800 |
| 2 | 250, 2900 |
| 5 | 125, 1450 |
| 5 | 25, 290 |
| 5, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 5 x 58 = 29000
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 500,5800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,5800) = 100
common factors(in case of two or more numbers have common factors) = 1
GCF(500,5800) x common factors =100 x 1 = 100
LCM(500,5800) = ( 500 × 5800 ) / 100
LCM(500,5800) = 2900000 / 100
LCM(500,5800) = 29000
∴ Least Common Multiple of 500,5800 is 29000
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 500, 5800
1. What is the LCM of 500, 5800?
Answer: LCM of 500, 5800 is 29000.
2. What are the Factors of 29000?
Answer: Factors of 29000 are . There are integers that are factors of 29000
3. How to Find the LCM of 500, 5800 ?
Least Common Multiple of 500, 5800.
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(500, 5800) = 2 x 2 x 2 x 5 x 5 x 5 x 29 = 29000.