Question

What is the least number which is a perfect square and which is also divisible by 16,18 and 48?

Answer 1

Given :

• 16,18 and 48

To find :

• The least number which is a perfect square and which is also divisible by 16,18 and 48 =?

Step-by-step explanation :

We have,

16,18 and 48

We have to find the least number which is a perfect square and which is also divisible by 16,18 and 48. So, find the LCM (Lowest Common Factor) of the number, 16,18 and 48.

LCM of 16,18 and 48 :-

2 | 16, 18, 48

__|_________

2 | 8, 9, 24

__|_________

2 | 4, 9, 12

__|_________

2 | 2, 9, 6

__|_________

3 | 1, 9 , 3

__|_________

3 | 1, 3, 1

__|_________

| 1, 1, 1

•°• LCM = 2² × 2² × 3² = 4 × 4 × 9 = 144.

Therefore, the least number which is a perfect square and which is also divisible by 16,18 and 48 is 144

Answer 2

$\bf\large{\underline{Question:-}}$

What is the least number which is a perfect square and which is also divisible by 16,18 and 48?

$\bf\large{\underline{To\:find:-}}$

• the least number which is a perfect square and which is also divisible by 16,18 and 48=?

$\bf\large{\underline{Solution:-}}$

1st we find the lowest common multiple or L.C.M

so,

L.c.m of 16,18 and 48 are

• 16=2×2×2
• 18=2×3×3
• 48=2×2×2×2×3

L.c.m= 2×2×2×2×3×3 = 144

hence,

the least perfect square number that is divisible by 16,18,48 is 144