Math Problem Statement
answeer
Product of two numbers is 9152 and their HCF is 8. What is the LCM of the numbers?
Solution
To solve the problem, we use the relationship between the product of two numbers, their HCF, and their LCM:
Given:
- Product of two numbers = 9152
- HCF = 8
We calculate the LCM:
Answer:
The LCM of the two numbers is 1144.
Would you like me to explain further? Here are related questions for practice:
- What is the relationship between HCF, LCM, and the product of two numbers?
- Can the LCM of two numbers ever be smaller than their HCF? Why or why not?
- If the HCF of two numbers is 1, how does that affect their LCM?
- How can the LCM of two numbers be determined if their product and HCF are known?
- How does changing the HCF affect the LCM when the product remains constant?
Tip: Always simplify calculations by using the relationship for efficiency.
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Math Problem Analysis
Mathematical Concepts
Number Theory
LCM (Least Common Multiple)
HCF (Highest Common Factor)
Formulas
Product of two numbers = HCF × LCM
Theorems
Relationship between HCF, LCM, and Product of Numbers
Suitable Grade Level
Grades 6-8