About the Book
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1890 Excerpt: ...14; 9 divides 27. (ii) That since 10 is 2 x 5, 28 is divided by 2, 45 by 5, 54 by 2. EXAMPLES. LVI. Find the L.c.m. of the following: 1. 4, 6. a. 3, 4, 6. 3. 3, 6, 12. 5. 4, 6, 9. 6. 3, 5, 15. 7. 4, 8, 12. 9. 7, 4, 2. 10. 9, 5, 6. 11. 7, 6, 9. 13. 14, 21. 14. 15, 25, 35. 16. 20, 21, 24. 17. 25, 30, 15. 19. 27, 18, 36. ao. 7, 14, 21, 28 aa. 14, 28, 35, 42. 83. 13. 26. 39. 4. 2. 3. 4. 6, 12. 8. s, 12, 15. ia. 6, 7, 8. 15. 24, 28, 27. 18. 32, 36, 40. ai. 5,15,25, 35. 24. 18, 36, 72, 54. MISCELLANEOUS EXAMPLES. LVII. 1. In how many ways can 24 counters be arranged in heaps, each heap containing an equal number of counters? a. I have a rod 36 feet long; in how many different ways could it be cut up into sets of rods, each rod containing an equal number of feet? 3. In drilling a school of 60 boys, in how many ways can they be arranged in rows, each row containing the same number of boys. 4. Two schools are being drilled; the numbers are 56 and 77; both schools are arranged in rows, each containing the same number of boys; how many rows? 5. I have two rods, 45 and 66 feet long; I cut each of them up into equal lengths, each of an exact number of feet; what is that length? 6. I distribute 187 apples and 143 oranges among a number of boys, giving to each boy an equal share of apples and of oranges; how many boys are there? 7. What is the least number which, when divided by 24 and by 45 in turn, gives no remainder in each case? 8. Two bells are tolled at intervals of 57 and 63 secs. respectively; they begin together; at what interval do they toll together? 9. Two pendulums tick at intervals 54 and 66 hundredths of a second respectively; if they tick together at all, shew that they tick together at intervals of a little less than 6 seconds. 10. Three cannon are fired ...
