what is the smallest perfect square that can be divided by 15 and 21
Answers
Answered by
13
8 = 2^3
12 = 2^2 * 3
15 = 3 * 5
20 = 2^2 * 5
LCM = 2^3 * 3 * 5
= 120
Answer = LCM^2
= 14400
12 = 2^2 * 3
15 = 3 * 5
20 = 2^2 * 5
LCM = 2^3 * 3 * 5
= 120
Answer = LCM^2
= 14400
Answered by
9
Answer: 11025
Step-by-step explanation:
L.C.M. of 15 and 21 is 105.
so if we want to find a perfect square it must be a multipe of 105.
let that number is 105x
factor of 105x is
105x = 3*5*7*x
as we know for being a number to square it must have pair of prime numbers in its factor. it it have pair then it is called a perfect square and if not then it is not a perfect square.
so there must be a pair of 3, 5, 7.
so the value of x is 3*5*7 = 105
so formed umber = 11025
Similar questions