If the H.C.F. of two numbers is 5 and their L.C.M. is 100, what is the product o
Practice Questions
Q1
If the H.C.F. of two numbers is 5 and their L.C.M. is 100, what is the product of the two numbers?
500
200
100
50
Questions & Step-by-Step Solutions
If the H.C.F. of two numbers is 5 and their L.C.M. is 100, 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. = 5 and L.C.M. = 100.
Step 3: Remember the formula that relates the product of two numbers to their H.C.F. and L.C.M.: Product of two numbers = H.C.F. * L.C.M.
Step 4: Substitute the values into the formula: Product = 5 * 100.
Step 5: Calculate the product: 5 * 100 = 500.
Step 6: Conclude that the product of the two numbers is 500.
H.C.F. and L.C.M. – The relationship between the highest common factor (H.C.F.) and the least common multiple (L.C.M.) of two numbers, which states that the product of the two numbers is equal to the product of their H.C.F. and L.C.M.
