LCM & HCF-6

The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is 

• 184

• 364

• 76

• 94

If the product of three consecutive numbers is 210 then sum of the smaller number is: 

• 5

• 11

• 3

• 4

The LCM of two multiples of 12 is 1056. If one of the numbers is 132, the other number is 

• 96

• 132

• 12

• 72

The largest 4 - digit number exactly divisible by each of 12, 15, 18 and 27 is : 

• 9930

• 9960

• 9690

• 9720

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder. 

• 25

• 35

• 5

• 15

When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is 

• 328

• 338

• 428

• 427

A number which when divided by 10 leaves remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is: 

• 359

• 1359

• 1539

• 539

The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 54, is 

• 571

• 427

• 869

• 859

There are 24 peaches, 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen? 

• 10

• 6

• 12

• 9

If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be. 

• 180

• 240

• 60

• 120