If the H.C.F. of two numbers is 15 and their L.C.M. is 150, what is the product

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Question: If the H.C.F. of two numbers is 15 and their L.C.M. is 150, what is the product of the two numbers?

Options:

Correct Answer: 1500

Solution:

The product of the two numbers is equal to the product of their H.C.F. and L.C.M., which is 15 * 150 = 2250.

If the H.C.F. of two numbers is 15 and their L.C.M. is 150, what is the product of the two numbers?

If the H.C.F. of two numbers is 15 and their L.C.M. is 150, what is the product of the two numbers?

Step 1: Understand that H.C.F. stands for Highest Common Factor and L.C.M. stands for Lowest Common Multiple.
Step 2: Note the values given in the question: H.C.F. = 15 and L.C.M. = 150.
Step 3: Remember the formula that states the product of two numbers is equal to the product of their H.C.F. and L.C.M.
Step 4: Use the formula: Product of the two numbers = H.C.F. * L.C.M.
Step 5: Substitute the values into the formula: Product = 15 * 150.
Step 6: Calculate the product: 15 * 150 = 2250.
Step 7: Conclude that the product of the two numbers is 2250.

H.C.F. and L.C.M. Relationship – The product of two numbers is equal to the product of their highest common factor (H.C.F.) and least common multiple (L.C.M.).