LCM of 3 and 8
The least common multiple of 3 and 8 is 24 — the smallest positive number into which both 3 and 8 divide evenly. This page lists the first twelve common multiples of the pair, which are exactly the multiples of 24.
3 and 8 share no common factor greater than 1, so their multiples first coincide only after a full 3 × 8 sweep: the LCM is the plain product 24. The number lines advance out of step — 3 every 3, 8 every 8 — and nothing shortens the wait. Because GCF(3, 8) = 1, the identity LCM × GCF = a × b reads 24 × 1 = 24, and the common multiples march outward at 24, 48, 72, and beyond.
| # | Common multiple |
|---|---|
| 1 | 24 |
| 2 | 48 |
| 3 | 72 |
| 4 | 96 |
| 5 | 120 |
| 6 | 144 |
| 7 | 168 |
| 8 | 192 |
| 9 | 216 |
| 10 | 240 |
| 11 | 264 |
| 12 | 288 |
Frequently asked questions
What is the LCM of 3 and 8?
The least common multiple of 3 and 8 is 24. The multiples of 3 begin 3, 6, 9, 12, … and the multiples of 8 begin 8, 16, 24, …, and 24 is the first value both lists share. Formula check: (3 × 8) ÷ GCF(3, 8) = 24 ÷ 1 = 24.
How do you find the LCM of 3 and 8?
Compare prime factorizations: 3 = 3 and 8 = 2³. No prime is shared, so every prime enters at full power and the product is the LCM: 24. The shortcut through the GCF lands on the same value: (3 × 8) ÷ 1 = 24.
What is the GCF of 3 and 8?
1. The factorizations 3 and 2³ share no prime, so 1 is the greatest common factor. The companion identity holds anyway: GCF × LCM = 3 × 8, or 1 × 24 = 24.
What are the common multiples of 3 and 8?
Exactly the multiples of the LCM: 24, 48, 72, 96, 120, 144, and onward without end. The table above lists the first twelve; every later one is another 24 steps out. These are the numbers into which both 3 and 8 divide evenly — which is why the LCM itself is the natural common denominator in fraction work.