Mechanical Engineering Exam > Mechanical Engineering Videos > General Aptitude for GATE > Short Trick - LCM & HCF
Short Trick - LCM & HCF Video Lecture | General Aptitude for GATE - Mechanical Engineering
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FAQs on Short Trick - LCM & HCF Video Lecture - General Aptitude for GATE - Mechanical Engineering
| 1. What is the difference between LCM and HCF? |  |
Ans.LCM (Least Common Multiple) is the smallest multiple that two or more numbers share, while HCF (Highest Common Factor) is the largest factor that two or more numbers have in common.
| 2. How do you calculate LCM and HCF using prime factorization? | |
Ans.To calculate LCM using prime factorization, list the prime factors of each number, take the highest power of each prime, and multiply them together. For HCF, take the lowest power of each common prime factor and multiply them.
| 3. What is the relationship between LCM and HCF of two numbers? | |
Ans.The relationship between LCM and HCF of two numbers can be expressed by the formula: LCM(a, b) × HCF(a, b) = a × b, where a and b are the two numbers.
| 4. What are some quick methods to find LCM and HCF? | |
Ans.Some quick methods include using the division method, listing multiples for LCM, and listing factors for HCF. The shortcut for LCM can also involve using the formula LCM = (a × b) / HCF.
| 5. Can LCM and HCF be found for more than two numbers? | |
Ans.Yes, LCM and HCF can be calculated for more than two numbers by applying the methods iteratively—first find the LCM or HCF of two numbers and then use that result with the next number, and so on.
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