Methods to Find the LCM of 2, 4, and 5
There are three primary methods to find the LCM of 2, 4, and 5:
See Also
HCF of 2 and 4 | How to Find HCF of 2 and 4What Is The Highest Common Factor?: Explained For Primary SchoolsGCF of 4 and 6 | How to Find GCF of 4, 6?HCF of 4 and 6 | How to Find HCF of 4 and 6- Prime Factorisation
- Division Method
- Listing the Multiples
Prime Factorisation Method for LCM of 2, 4, and 5
In the Prime Factorisation method, we express the numbers as the product of prime numbers. For instance, 2, 4, and 5 can be expressed as follows:
2 = 2 x 1
4 = 2 x 2
5 = 5 x 1
Therefore, LCM (2, 4, 5) = 2 x 2 x 5 = 20
Division Method for LCM of 2, 4, and 5
The Division Method involves dividing the given numbers until no further division is possible or when only prime numbers are left.
| 2 | 2 | 4 | 5 |
| 2 | 1 | 2 | 5 |
| 5 | 1 | 1 | 5 |
| x | 1 | 1 | 1 |
Hence, LCM (2, 4, 5) = 2 x 2 x 5 = 20
Listing the Multiples Method for LCM of 2, 4, and 5
The Listing the Multiples method involves listing all the multiples of the given numbers and finding the smallest common multiple, which is the LCM.
| Multiples of 2 | Multiples of 4 | Multiples of 5 |
| 2 | 4 | 5 |
| 4 | 8 | 10 |
| 6 | 12 | 15 |
| 8 | 16 | 20 |
| 10 | 20 | 25 |
| 12 | 24 | 30 |
| 14 | 28 | 35 |
| 16 | 32 | 40 |
| 18 | 36 | 45 |
| 20 | 40 | 50 |
Thus, LCM (2, 4, 5) = 20
