HCF & LCM · Question 27 · Hard
What is the least perfect square that is exactly divisible by each of 8, 12, 15 and 20?
- 900
- 3600
- 14400
- 1200
Answer and explanation
Answer: B. 3600
Explanation: LCM(8, 12, 15, 20) = 120 = 2^3 × 3 × 5. To make every prime power even, multiply by 2 × 3 × 5 = 30: 120 × 30 = 3600 = 60².
Previous: The HCF and LCM of two numbers are 5 and 495 respectively, and their sum is… · Next: How many numbers from 1000 to 3000 (both inclusive) are exactly divisible by…
Practise hcf & lcm
Try a fresh set of hcf & lcm questions with an explanation after every answer, free and without signing up: HCF & LCM practice. Or sit a full placement mock test.
More hcf & lcm questions
- Three milk tankers contain 403 litres, 434 litres and 465 litres of milk. What…
- What is the HCF of 2^4 × 3^3 × 5^2 and 2^2 × 3^5 × 7?
- The HCF and LCM of two numbers are 5 and 495 respectively, and their sum is…
- How many numbers from 1000 to 3000 (both inclusive) are exactly divisible by…
- The HCF of two numbers is 23 and their LCM is 2277. If both numbers lie…
- Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. What is their LCM?
More quantitative aptitude practice
Simplification · Percentages · Profit & Loss · Simple & Compound Interest · Ratio & Proportion · Averages · Problems on Ages · Mixtures & Alligation
LogicWiz Exams home · All practice topics · Placement mock tests · Daily 10 challenge