If the HCF of three numbers is 7 and their LCM is 420, what is the product of th

If the HCF of three numbers is 7 and their LCM is 420, what is the product of the three numbers? (2023)

If the HCF of three numbers is 7 and their LCM is 420, what is the product of the three numbers? (2023)

Step 1: Understand that HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple.
Step 2: Note that the HCF of the three numbers is given as 7.
Step 3: Note that the LCM of the three numbers is given as 420.
Step 4: Recall the formula that relates the product of the numbers to their HCF and LCM: Product of the numbers = HCF * LCM.
Step 5: Substitute the values into the formula: Product of the numbers = 7 * 420.
Step 6: Calculate the product: 7 * 420 = 2940.
Step 7: Conclude that the product of the three numbers is 2940.

HCF and LCM Relationship – The product of the HCF (Highest Common Factor) and LCM (Lowest Common Multiple) of a set of numbers is equal to the product of the numbers themselves.