Question

4. If one number is a multiple of another, the LCM of the two numbers is:
a) The smaller of the two numbers b) The greater of the two numbers
c) The product of the two numbers d) Greater number - smaller number​

Answer 1

Answer:

the smaller number of the two numbers.

Answer 2

Option b) The greater of the two numbers is the correct answer.

• Least common multiple is the least common multiple of two numbers is the lowest possible number that is divisible by both numbers.
• By using the prime factorization method we can find out the prime factors of the numbers and we can use these prime factors to find the LCM of those numbers.
• Given that one number is a multiple of another. Suppose 2 and 10 be the two numbers. Here, 10 is a multiple of 2.
• By  Prime factorization method, 2 = 2 * 1 and 10= 2 * 5
• ∴ LCM= 2 *5 = 10, Which is the greater number of the two numbers.
• Therefore, If one number is a multiple of another, the LCM of the two numbers is the greater number of two numbers.
• Option b) The greater of the two numbers is the correct answer.