HCF and LCM

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51 The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

A
7063
B
7056
C
2035
D
2042

52 What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

A
630
B
640
C
645
D
660

53 Find the least number which when divided by 24, 32 and 36 leaves the remainders 19, 27 and 31, respectively:

A
283
B
280
C
260
D
290

54 18 Find the largest possible number of 5 digit's which is exactly divisible by 32, 36 and 40:

A
99960
B
99360
C
99999
D
99386

55 Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A
16
B
15
C
18
D
12

56 If HCF of two numbers is 8, which of the following can never be their LCM?

A
24
B
30
C
48
D
60

57 The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM?

A
12
B
24
C
36
D
48

58 Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 1200. Find the HCF of the numbers:

A
40
B
30
C
80
D
20

59 Four numbers are in the ratio of 10:12:15: ia If their HCF is 3, then find their LCM:

A
420
B
540
C
620
D
680

60 The LCM of two numbers is 495 and their HCF is 5. If sum of the numbers is 100, then find the difference of the numbers:

A
10
B
46
C
70
D
90