Find the LCM of 16 90 91 280 455
Answers
Given:
Numbers: 16, 90, 91, 280 & 455
To find:
L.C.M. of the numbers
Solution:
(i) We will find the L.C.M. of the numbers 16, 90, 91, 280 & 455 by the prime factorization method.
(ii) Let's first write the factors of each number
16 = 2 × 2 × 2 × 2
90 = 2 × 3 × 3 × 5
91 = 7 × 13
280 = 2 × 2 × 2 × 5 × 7
455 = 5 × 7 × 13
(iii) Now, we will take the least common factors of the numbers
L.C.M (16, 90, 91, 280 & 455) = 2⁴ × 3² × 5 × 7 × 13 = 65,520
Thus,
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Given : 5 numbers 16 90 91 280 455
To find : LCM
Solution:
16 = 2 * 2 * 2 * 2
90 = 2 * 3 * 3 * 5
91 = 7 * 13
280 = 2 * 2 * 2 * 5 * 7
455 = 5 * 7 * 13
LCM = 2 * 2 * 2 * 2 * 3 * 3 * 5 * 7 * 13
= 65520
LCM = 65520
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