How to Calculate the LCM of 4 and 10?
There are three main methods to calculate the LCM of 4 and 10:
See Also
LCM of 15 and 18 | How to Find LCM of 15 and 18LCM of 4 and 4 | How to Find LCM of 4 and 4Greatest Common Factor (GCF) - MathProjectGCF of 3 and 4 | How to Find GCF of 3, 4?- Prime Factorisation
- Division method
- Listing the multiples
Using the Prime Factorisation Method for LCM of 4 and 10
In the Prime Factorisation method, the numbers are broken down into their prime factors. For instance, 4 and 10 can be broken down as follows:
4 = 2 x 2
10 = 2 x 5
Therefore, the LCM (4, 10) = 2 x 2 x 5 = 20
Using the Division Method for LCM of 4 and 10
In the Division Method, the numbers are divided by the smallest number that divides all until no further division is possible.
| 2 | 4 | 10 |
| 2 | 2 | 5 |
| 5 | 1 | 5 |
| x | 1 | 1 |
Hence, the LCM (4, 10) = 2 x 2 x 5 = 20
Using the Listing Multiples Method for LCM of 4 and 10
By listing the multiples of the given numbers, the first (or least) common multiple can be identified. Here are the multiples for 4 and 10:
| Multiples of 4 | Multiples of 10 |
| 4 | 10 |
| 8 | 20 |
| 12 | 30 |
| 16 | 40 |
| 20 | 20 |
Therefore, the LCM (4, 10) = 20
