Find the least square number which is divisible by 6, 8 and 15Options300360037003900
Question
Find the least square number which is divisible by 6, 8 and 15
Options:
- 300
- 3600
- 3700
- 3900
Solution
To find the least square number which is divisible by 6, 8, and 15, we first need to find the least common multiple (LCM) of these numbers.
Step 1: Prime factorization of the numbers 6 = 2 * 3 8 = 2^3 15 = 3 * 5
Step 2: Find the LCM The LCM is found by multiplying the highest power of all the prime numbers in the factorization. LCM = 2^3 * 3 * 5 = 120
Step 3: Find the square of the LCM The square of 120 is 14400.
Step 4: Check the options Among the given options, 14400 is not present. Therefore, none of the options is the least square number divisible by 6, 8, and 15.
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