ABC26GN0425 · H.C.F. and L.C.M. of Numbers

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:

Find the L.C.M. of (a) 87 and 145 (b) 72, 108 and 2100

Answer

Answer (as printed):

Explanation

(a) $87=3 \times 29$ and $145=5 \times 29$. ∴ L.C.M. $=3 \times 5 \times 29=435$. (b) $72=2^{3} \times 3^{2}$, $108=3^{3} \times 2^{2}$, $2100=2^{2} \times 5^{2} \times 3 \times 7$. ∴ L.C.M. $=2^{3} \times 3^{3} \times 5^{2} \times 7=37800$.

Explanation as extracted from the printed page; notation may be imperfect.

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