Find the least number exactly divisible by 10, 15, 18 and 30.a)85b)90c)88d)93e)105Correct answer is option 'B'. Can you explain this answer?

Question

Answer

There are four numbers 10,15,18 and 30. So by divisional rules only those numbers will be divisible by 10, 15,18 and 30 who are common multiple of them. so in order to find least common multiple we find L.C.M (Least common multiple)
so LCM of 10,15,18 and 30 is 90. Option 'B' is the correct answer.

Answer

By the l.c.m of these numbers and also using the rules of division

Answer

Option (b).90 correct answer

Answer

Answer is B (90)  Bcz it is divided by 10 ,15, 18 , 30 it will have value 9 , 6 , 5 and 3 . whole number only given by his option. Thus this ans is correct.

Answer

To find the least number exactly divisible by 10, 15, 18, and 30, we need to find the least common multiple (LCM) of these numbers. LCM is the smallest multiple that is divisible by all the given numbers.

Finding the LCM involves finding the prime factors of each number and taking the highest power of each prime factor.

Prime factors of 10 = 2 * 5
Prime factors of 15 = 3 * 5
Prime factors of 18 = 2 * 3 * 3
Prime factors of 30 = 2 * 3 * 5

Taking the highest power of each prime factor, we get:
2^1 * 3^2 * 5^1 = 2 * 9 * 5 = 90

Therefore, the least number exactly divisible by 10, 15, 18, and 30 is 90, which corresponds to option B.

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