1. Find the LCM of the following numbers by the common-multiple method:
(i) 4, 6 and 8
(ii) 10,15 and 20
2. Find the LCM of the following numbers by prime factorisation:
(i) \( 45,75,125 \)
(iii) \( 42,48,56 \)
(ii) \( 35,49,91 \)
(iv) \( 28,35,56,84 \)
3. Calculate the LCM of the following numbers by the method of division:
(i) 45,50
(iii) \( 16,24,30,40,48 \)
(ii) \( 14,21,56 \)
(iv) \( 36,54,72,96,108 \)
4. Find the lowest number divisible by 15,20 , and 25 .
5. Find the lowest number between 200 and 500 which leaves a remainder of 3 in each case when divided by \( 8,10,12 \), and 30 .
6. Find the smallest number which when divided by \( 12,15,18 \), and 27 leaves as remainder \( 8,11,14 \), and 23 respectively.
7. Find the smallest number of 4 digits which when divided by 40,50 , and 60 leaves a remainder of 5 in each case.
8. Find the greatest number of 5 digits which when divided by 25,30 , and 40 leaves a remainder of 20,25 , and 35 respectively.
9. What is the lowest number that must be added to 2000 so that the sum is divisible exactly by \( 10,12,16 \), and 18 ?
0 . Four bells toll after intervals of \( 8,9,12 \), and 15 minutes, respectively. If they toll together at 3 p.m., when will they toll together next?