LCM and HCF | find Greatest number | Aptitude | Part- 05 | Bharath Kumar

TL;DR

This session explains how to calculate LCM and HCF through examples and long division.

Transcript

hi everyone welcome back in this session i will explain the problems on lcm and hcf in the last session we already discussed the concept of lcm and hcf and all models we covered related to concept now from this session onwards we are going to discussing about problems related to lcm and hcf see the first question in this session find the greatest n... Read More

Key Insights

• 😫 The highest common factor (HCF) can be effectively determined through the long division method, aiding in obtaining accurate results for diverse number sets.
• 👻 Converting decimal values into whole numbers simplifies the computation of LCM, allowing for a straightforward application of established algorithms.
• #️⃣ Consistency is key when applying multiplication factors to all numbers involved to maintain the integrity of calculations throughout LCM and HCF tasks.
• 😒 The importance of thoroughness in mathematical computations is reinforced through the use of step-by-step methodologies, preventing hasty errors.
• #️⃣ Understanding how to transition between different types of numbers (whole and decimal) is essential in ensuring precise calculations in algebra.
• 🤝 These foundational skills in dealing with LCM and HCF can enhance overall mathematical proficiency, supporting learners in tackling more complex problems.
• 🌉 The session exemplifies practical applications of LCM and HCF, bridging theory with practical problem-solving skills in mathematics.

Questions & Answers

Q: What methods were used to find the HCF of the numbers 850, 1065, and 1491?

The speaker used the long division method, where larger numbers were divided by the smallest number iteratively, using the remainders from each division until reaching zero. For the numbers 850, 1065, and 1491, the HCF was found to be 213 through rigorous division.

Q: How do we calculate the LCM of decimal numbers like 1.2, 0.24, and 6?

The decimals are converted to whole numbers by multiplying by 100, resulting in 120, 24, and 600. The long division method was applied to these rounded figures, and the final LCM was calculated to be 6 by dividing back down by 100.

Q: What is the significance of using long division when calculating HCF and LCM?

Long division provides a systematic approach to breaking down numbers, ensuring thoroughness and accuracy in finding HCF and LCM. This method simplifies complex calculations and eliminates errors commonly made in faster, less formal techniques.

Q: Why is converting decimal numbers necessary for LCM calculations?

Decimal conversion helps eliminate confusion while performing arithmetic operations; it averages the decimal places to yield whole numbers, allowing for easier application of standard LCM calculation methods, which are normally designed for integers.

Summary & Key Takeaways

• The session begins with a review of LCM and HCF concepts and introduces practical problems that involve computing these values.

• Demonstrations include finding the highest common factor among different sets of numbers using the long division method for accuracy.

• The session also addresses calculating LCM for decimal numbers by converting them into whole numbers before applying standard LCM techniques.