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HCF & LCM Video Lecture - CSAT Preparation - UPSC

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Video Timeline
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00:00Quantitative Aptitude
05:31LCM Least Common Multiple
10:33Quickly find LCM & HCF
25:37What greatest number divides 17, 42 and 93 and leaves remainders 4, 3 and 15, respectively?
30:20What least number when divided by 36, 24 and 16 leaves 11 as remainder in each case?
39:53The ratio of two numbers is 5:6 and their LCM is 480, then their HCF is
44:31What largest number will divide 47,35 and 27 leaving same remainder in each case? What will be the common remainder?
46:59There are 3 equilateral triangles with sides 114 cm, 76 cm and 152 cm. What maximum size scale can measure them exactly?
52:395 clocks ring automatically at intervals of 12 minutes, 8 minutes, 3 minutes, 4 minutes and 10 minutes, respectively. In 8 hours from the moment they start, how many times will they ring
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FAQs on HCF & LCM Video Lecture - CSAT Preparation - UPSC

1. What is the meaning of HCF and LCM?
Ans. HCF stands for Highest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder. LCM stands for Lowest Common Multiple, which is the smallest number that is a multiple of two or more numbers.
2. How can HCF be calculated using prime factorization?
Ans. To calculate HCF using prime factorization, first express each number as a product of its prime factors. Then, identify the common prime factors and take the lowest power of each common factor. Multiply these together to obtain the HCF.
3. What is the relationship between HCF and LCM?
Ans. The relationship between HCF and LCM can be expressed through the formula: HCF(a, b) × LCM(a, b) = a × b, where a and b are any two integers. This means that the product of the HCF and LCM of two numbers equals the product of the numbers themselves.
4. Can HCF and LCM be found using the division method?
Ans. Yes, HCF and LCM can be found using the division method. For HCF, repeatedly divide the numbers by their common factors until no common factors remain. For LCM, use the same division method to find the product of the factors divided, including the remaining numbers.
5. How are HCF and LCM useful in real-life applications?
Ans. HCF and LCM are useful in various real-life applications such as simplifying fractions, finding common denominators, and solving problems related to scheduling, where events need to occur simultaneously or at regular intervals.
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Video Timeline
Video Timeline
arrow
00:00Quantitative Aptitude
05:31LCM Least Common Multiple
10:33Quickly find LCM & HCF
25:37What greatest number divides 17, 42 and 93 and leaves remainders 4, 3 and 15, respectively?
30:20What least number when divided by 36, 24 and 16 leaves 11 as remainder in each case?
39:53The ratio of two numbers is 5:6 and their LCM is 480, then their HCF is
44:31What largest number will divide 47,35 and 27 leaving same remainder in each case? What will be the common remainder?
46:59There are 3 equilateral triangles with sides 114 cm, 76 cm and 152 cm. What maximum size scale can measure them exactly?
52:395 clocks ring automatically at intervals of 12 minutes, 8 minutes, 3 minutes, 4 minutes and 10 minutes, respectively. In 8 hours from the moment they start, how many times will they ring
More
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