Question

1) Find HCF and LCM.90, 144
by Prime factorisation method​

Answer 1

Answer:

We need to find the “Highest Common factor” (HCF) and “Least Common Multiple” (LCM) of 90 and 144 by using prime factorization method.

The factors of 90 and 144 are

\begin{gathered}\bold{\begin{array}{l}{90=3 \times 3 \times 2 \times 5} \\ {144=2 \times 2 \times 2 \times 2 \times 3 \times 3}\end{array}}\end{gathered}

90=3×3×2×5

144=2×2×2×2×3×3

Therefore, we can calculate the LCM and HCF from above two steps.

\begin{gathered}\bold{\begin{array}{l}{\therefore \mathrm{LCM} \text { of } 90 \text { and } 144=3 \times 3 \times 2=18} \\ {\therefore \mathrm{HCF} \text { of } 90 \text { and } 144=3 \times 3 \times 2 \times 2 \times 2 \times 2 \times 5=720}\end{array}}\end{gathered}

∴LCM of 90 and 144=3×3×2=18

∴HCF of 90 and 144=3×3×2×2×2×2×5=720

Step-by-step explanation:

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