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Question
Which of the following is the smallest number that is exactly divisible by 10 and 30?
Which of the following is the smallest number that is exactly divisible by 10 and 30?
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Solution
The correct option is D 30
The LCM of two numbers is the smallest number that can be divided evenly by both of the given numbers.
The LCM of 10 and 30 can be found using the prime factorization method.
The prime factorization of 10 is:
2 × 5
The prime factorization of 30 is:
2 × 3 × 5
Thus, the least common multiple of 10 and 30 is:
2 × 3 × 5 = 30
Hence, 30 is the smallest number that is exactly divisible by 10 and 30.
The LCM of two numbers is the smallest number that can be divided evenly by both of the given numbers.
The LCM of 10 and 30 can be found using the prime factorization method.
The prime factorization of 10 is:
2 × 5
The prime factorization of 30 is:
2 × 3 × 5
Thus, the least common multiple of 10 and 30 is:
2 × 3 × 5 = 30
Hence, 30 is the smallest number that is exactly divisible by 10 and 30.
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