# HCF and LCM Questions and Answers

## HCF and LCM Questions​

Lets look at HCF and LCM in detail. ### HCF in case of only two numbers:

• Suppose the question asks to calculate the HCF of any two numbers. Then Divide the larger number by the smaller one.
• Now divide the divisor by the remainder.
• Keep dividing the preceding divisor with the remainder until a Zero remainder is obtained.
• The last divisor obtained will be the HCF of those two given number.

### HCF in case of more than two numbers:

• The HCF of these two numbers and the third number will be the HCF of all three numbers and so forth.
• Choose any two numbers and find their HCF by applying the above-mentioned method.

### The rule for Solving HCF and LCM Questions and Answers:

•  Calculate the multiples or the factors of the larger number until one of them is also a multiple of the smaller number.
• Then multiply all these factors, and the resultant will be the LCM of the given numbers.

### Let us now solve some some of the HCF and LCM Questions and Answers.

Question 1 Time: 00:00:00
Find the L.C.M of 15, 30, 45 90

90

95

95

92

92

None of the above

None of the above

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Question 2 Time: 00:00:00
The given ratio of two numbers is 3:2. If the L.C.M of them is 30, then calculate their sum. 34

34

50

50

55

55

None of the above

None of the above

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Question 3 Time: 00:00:00
Find the L.C.M of 25, 35, and 55 1900

1900

1990

1990

1925

1925

None of the above

None of the above

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Question 4 Time: 00:00:00
Calculate the HCF of 22 and 33 11

11

12

12

15

15

None of the above

None of the above

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Question 5 Time: 00:00:00
If 20 is the HCF of two particular numbers and the other two factors of their LCM are 10 and 12, find the larger number? 220

220

210

210

240

240

None of the above

None of the above

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Question 6 Time: 00:00:00
The HCF and LCM of three specific numbers are 6, 12, 18. If one number is 24, find the next number? 55

55

54

54

67

67

None of the above

None of the above

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Question 7 Time: 00:00:00
The two specific numbers are in the ratio 6:7, if the HCF of the given numbers is 30, what will be the numbers? 160, 180

160, 180

180, 210

180, 210

200,160

200,160

None of the above

None of the above

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Question 8 Time: 00:00:00
Determine the largest length of the tape, which can measure tape of 5 cm, 7cm, and 13 cm? 1

1

7

7

13

13

None of the above

None of the above

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Question 9 Time: 00:00:00
The HCF of two numbers is 45, and their LCM is 90, if one specific number is 9, find another number? 450

450

435

435

426

426

None of the above

None of the above

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Question 10 Time: 00:00:00
Street lamps start at the interval of 5, 10, 15, 20, and 25 seconds, calculate the number in which the street lamps began together in 40 minutes? 9

9

10

10

8

8

None of the above

None of the above

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Question 11 Time: 00:00:00
If the ratio between the three numbers is 2:3:5 and their L.C.M is 180, calculate their sum? 56

56

60

60

65

65

None of the above

None of the above

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Question 12 Time: 00:00:00
Find the largest numbers that will divide 12, 60, 90 and will give a similar remainder. 6

6

5

5

7

7

None of the above

None of the above