LCM of 2, 5 and 8 is 40. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The smallest number among all frequent multiples of 2, 5, and 8 is the LCM of 2, 5, and 8. (2, 4, 6, 8, 10…), (5, 10, 15, 20, 25…), and (8, 16, 24, 32, 40…), respectively, are the first few multiples of 2, 5, and 8. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 2, 5 and 8?
The answer to this question is 40. The LCM of 2, 5 and 8 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 2, 5 and 8, is the smallest positive integer 40 which is divisible by both 2, 5 and 8 with no remainder.
How to Find LCM of 2, 5 and 8?
LCM of 2, 5 and 8 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2, 5 and 8 Using Prime Factorisation Method
The prime factorisation of 2, 5 and 8, respectively, is given by:
(2) = 21,
(5) = 51, and
8 = (2 × 2 × 2) = 23
LCM (2, 5, 8) = 40
LCM of 2, 5 and 8 Using Division Method
We’ll divide the numbers (2, 5, 8) by their prime factors to get the LCM of 2, 5 and 8 using the division method (preferably common). The LCM of 2, 5 and 8 is calculated by multiplying these divisors.
| 2 | 2 | 5 | 8 |
| 2 | 1 | 5 | 4 |
| 2 | 1 | 5 | 2 |
| 5 | 1 | 5 | 1 |
| x | 1 | 1 | 1 |
No further division can be done.
Hence, LCM (2, 5, 8) = 40
LCM of 2, 5 and 8 Using Listing the Multiples
To calculate the LCM of 2, 5 and 8 by listing out the common multiples, list the multiples as shown below
| Multiples of 2 | Multiples of 5 | Multiples of 8 |
| 2 | 5 | 8 |
| 4 | 10 | 16 |
| 6 | 15 | 24 |
| ….. | ……. | 32 |
| 40 | 40 | 40 |
The smallest common multiple of 2, 5 and 8 is 40.
Therefore LCM (2, 5, 8) = 40
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LCM of 2, 5 and 8 Solved Example
Find the smallest number that is divisible by 2, 5, 8 exactly.
Solution:
The value of LCM(2, 5, 8) will be the smallest number that is exactly divisible by 2, 5, and 8.
⇒ Multiples of 2, 5, and 8:
Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, . . . ., 36, 38, 40, . . . .
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, . . . ., 20, 25, 30, 35, 40, . . . .
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, . . . ., 16, 24, 32, 40, . . . .
Therefore, the LCM of 2, 5, and 8 is 40.
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