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hcf and lcm aptitude banner

HCF and LCM Formulas

HCF and LCM formulas serve as the foundation for the overall understanding of the topic. The HCF and LCM formulas can assist students in overcoming the challenges during examinations.

Concepts
Formulas
Practice Questions

Basic Formulas of HCF and LCM

The following are the formulas relevant to HCF and LCM:

S.No To Calculate Formulas

1

When HCF & LCM Given

HCF x LCM = N1 x N2 (product of the given numbers)

2

HCF of Co-Prime numbers

Always 1

3

LCM of Co-Prime numbers

Product of the given numbers

4

HCF of Given numbers

Lesser than or equal to the lowest number

5

LCM of Given numbers

Greater than or equal to the highest number

Important Points to Remember

  • If 1 is the HCF of 2 numbers, then their LCM will be their product. In other words. The LCM is always the product of the numbers for two coprime numbers.

  • For two coprime numbers, the HCF is always 1.

  • The most important property that will assist us in quickly solving HCF and LCM problems is that the HCF of the provided numbers will always be less than or equal to the lowest number supplied (because it is a factor). And LCM of the given numbers will always be larger than or equal to the highest number.

Quick Tip: Do you know? You can learn HCF and LCM formulas quickly if you first understand the fundamental concepts of HCF and LCM.

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FAQsFAQs

How do you benefit from learning HCF and LCM formulas?

One of the significant benefits of understanding HCF and LCM formulas is the capability to quickly and accurately address simple formula-based questions.

How to remember HCF and LCM formulas for a longer time?

Following are the techniques you can use to memorise HCF and LCM formulas:

  • For a start, you can start understanding the concepts of the HCF and LCM . It will help you find out why a formula is used.

  • Keep a separate piece of paper and write down each formula on the HCF and LCM topic you need to memorise.

  • Write down and examine each HCF and LCM formula, but this time with intervals. Write the equation, then take a 2-minute break to think about it before writing it again.

  • Your memory is more likely to associate with the formula you want to remember if you use it more often. Solve the problems employing the formula.

  • Visualise and repeat out loud the formula occasionally. Create HCF and LCM formulas flashcards to help with this. You can also use these flashcards while practicing the HCF and LCM questions.

  • The formula should be written down and posted somewhere you will see daily. They'll be subconsciously imprinted into your memory.

How conceptual understanding of HCF and LCM topic helps in remembering its formulas?

Conceptual understanding will help you to make sense of the HCF and LCM formulas. Conceptual understanding is concentrated on describing why things happen as opposed to how to make them happen. They help you understand the true motive for employing the HCF and LCM formulas.

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