If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (20

If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (2023)

If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (2023)

Step 1: Understand that HCF (Highest Common Factor) and LCM (Lowest Common Multiple) are related to two numbers.
Step 2: Recall the formula that connects HCF and LCM: HCF * LCM = Product of the two numbers.
Step 3: Identify the given values: HCF = 5 and the product of the two numbers = 1000.
Step 4: Substitute the known values into the formula: 5 * LCM = 1000.
Step 5: To find LCM, divide both sides of the equation by 5: LCM = 1000 / 5.
Step 6: Calculate the division: 1000 divided by 5 equals 200.
Step 7: Conclude that the LCM of the two numbers is 200.

HCF and LCM Relationship – The relationship between the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers is given by the formula: HCF * LCM = Product of the numbers.