If the HCF of two numbers is 5 and their product is 100, what is their LCM?
Practice Questions
Q1
If the HCF of two numbers is 5 and their product is 100, what is their LCM?
20
25
15
10
Questions & Step-by-Step Solutions
If the HCF of two numbers is 5 and their product is 100, what is their LCM?
Step 1: Understand the terms. HCF (Highest Common Factor) is the largest number that divides both numbers. LCM (Lowest Common Multiple) is the smallest number that both numbers can divide into.
Step 2: Note the given values. The HCF of the two numbers is 5, and their product is 100.
Step 3: Use the relationship between HCF, LCM, and product. The formula is: HCF * LCM = Product.
Step 4: Substitute the known values into the formula. We have 5 (HCF) * LCM = 100 (Product).
Step 5: To find LCM, rearrange the formula. LCM = Product / HCF.
Step 6: Substitute the values into the rearranged formula. LCM = 100 / 5.
Step 7: Calculate the result. LCM = 20.
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 two numbers.
