Advertisements
Advertisements
Question
Find the smallest perfect square divisible by 3, 4, 5 and 6.
Advertisements
Solution
L.C.M. of 3, 4, 5, 6 = 2 x 2 x 3 x 5 = 60
| 2 | 3, 4, 5, 6 |
| 3 | 3, 2, 5, 3 |
| 1, 2, 5, 1 |
in which 3 and 5 are not in pairs L.C.M. = 2 x 3 x 2 x 5 = 60
We should multiple it by 3 x 5 i.e. by 15
Required perfect square = 60 x 15 = 900
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
14283
Write true (T) or false (F) for the following statement.
The product of two square numbers is a square number.
Find the square root the following by prime factorization.
196
Find the square root the following by prime factorization.
8281
A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
Examine if the following is a perfect square
190
Find the square root by prime factorisation method
1156
Using prime factorisation, find which of the following are perfect squares.
11250
