Question

ind the least common multiple for each pair of numbers, Week 1 and Week 2, given in the table.

Drag each number to the correct spot in the table. Click or tap the Reset button to start over.
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Five students recorded the number of hours they spent practicing the violin in 2 weeks. They want to find the least common multiple (LCM) of each pair of hours in the table.

DoneHints:1234
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Answer 1

I can help — I just need the numbers in the table. Please either type the five (Week 1, Week 2) pairs or paste a picture of the table.

While you get that to me, here are two quick ways to find an LCM so you can place the answers in the table yourself.

Method A — use the GCD (fast and reliable)
1. Compute gcd(a,b) (use the Euclidean algorithm).
2. Then LCM(a,b) = |a × b| ÷ gcd(a,b).

Example: a = 6, b = 8
- gcd(6,8) = 2
- LCM = (6×8) ÷ 2 = 48 ÷ 2 = 24

Method B — prime factorization
1. Factor each number into primes.
2. For each prime, take the highest power that appears in either factorization.
3. Multiply those highest powers together to get the LCM.

Example: a = 6 = 2 × 3, b = 8 = 2^3
- take 2^3 (highest power of 2) and 3^1 → LCM = 2^3 × 3 = 8×3 = 24

Method C — list multiples (works for small numbers)
- List multiples of the larger number and check which is divisible by the other number; the first such multiple is the LCM.

Send the five pairs and I will compute each LCM for you and tell you what to drag to each table cell.