We read your photo as:

What is the least common multiple (LCM) of 15 and 24?

Mathematics

ScanSolve AI Answer

Answer

120 cm\text{120 cm}

Step-by-step solution

3 steps

  1. Find the prime factorization of 15.

    15=3×515 = 3 \times 5

  2. Find the prime factorization of 24.

    24=2×12=2×2×6=2×2×2×3=23×324 = 2 \times 12 = 2 \times 2 \times 6 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3

  3. Determine the Least Common Multiple (LCM) of 15 and 24.

    To find the LCM, we take the highest power of each prime factor present in either factorization.
    The prime factors are 2, 3, and 5.
    The highest power of 2 is 232^3.
    The highest power of 3 is 313^1.
    The highest power of 5 is 515^1.

    LCM(15,24)=23×3×5=8×3×5=24×5=120LCM(15, 24) = 2^3 \times 3 \times 5 = 8 \times 3 \times 5 = 24 \times 5 = 120

    The minimum length of each of the big pieces of wood is 120 cm.

    The minimum length of each of the big pieces of wood is 120 cm\text{120 cm}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QWhat is the least common multiple (LCM) of 18, 24, and 36?QFind the L.C.M of 24QWhat is the LCM of 15 and 20?QFind the least common multiple of 18 and 24.QWhat is the greatest common factor (GCF) of 9, 15, and 24?
Browse by topic:Number Theory
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.