LCM

Q. Find the lowest number which is exactly divisible by 18 and 24.

Q. Find the first three common multiples of 4 and 6. [3 marks]

Q. is the lowest common multiple (LCM) of 3 and 7.

1. 24
2. 21
3. 27

Q. Three lights flash at intervals of 6, 8 and 16 seconds respectively. If they are all switched on at the same time, after how much time (in s) will they flash together again?

1. 24
2. 36
3. 48
4. 60

Q. 1.The LCM of two number is 14 times of their hcf .the sum of LCM and HCF is 600 if one number is 280 find the other number. 2. Prove that n square minus n is divisible by 2 for any positive integer n. 3. Prove that 2 root 3 + root 5 is an irrational number.

Q.

LCM and HCF of 92 and 69

Q.

The product of two numbers is 1440&their HCF is6.Find the LCM of the numbers

Q. The maximum capacity of a garbage can is 5.05 lbs. Which of the following garbage bags will fit inside the can?

1. Bag A
2. Bag B
3. Bag C
4. Cannot be determined

Q. All multiples of 4 are also multiples of 2.

1. True
2. False

Q. Find the common multiples of 18 and 24 which are less than 80.

Q. What is the LCM of 11 and 9 ?

1. 99

Q.

The least common multiple of 5, 6 and 10 is _______.

1. 30

2. 10

3. 60

4. 120

Q.

What is LCM? Explain with examples.

Q. The least common multiple of 7 and 8 is 63.

1. True
2. False

Q. Ram had forgotten the password to his bag number lock. He just remembers that the password is the smallest three digit number, which is the common multiple of 4 and 6. What is the password?

1. 100
2. 104
3. 12
4. 108

Q. Three friends go on a walk, Their steps measure 50 cm, 25 cm, and 20 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?

1. 50 cm
2. 100 cm
3. 160 cm
4. 200 cm

Q. What is the smallest common multiple of 4, 5 and 6? [4 marks]

Q. If $6$ note books cost Rs. $45,$ how much would $8$ note books cost?

1. Rs. $312$
2. Rs. $57$
3. Rs. $60$
4. Rs. $360$

Q. Which of the following is a common multiple of 2, 3 and 9?

1. 30
2. 36
3. 24
4. 33

Q. What is the least number that is exactly divisible by 15, 10 and 16?

1. 240
2. 60
3. 16
4. 160

Q. Find the LCM of 4 and 12.

1. 8
2. 24
3. 12
4. 48

Q. The passcode to open this digital lock is the smallest common multiple of 60 and 80. What is the passcode?

1. 60
2. 80
3. 120
4. 240

Q. Ram runs 1 lap of a circular track in 9 minutes and Rani completes 1 lap of the same track in 6 minutes. If they started at the same time from the starting line, when will they meet again at the starting line next? [3 marks]

Q. Which colored region represents the common multiples of only 5 and 6?

1. Grey
2. Orange
3. Green
4. Violet

Q. The price of an article is the smallest common multiple of 60 and 36. What is its price (in ₹)?

1. 120
2. 108
3. 180
4. 144

Q. Find the LCM of 25, 50 and 100.

1. 25

2. 50

3. 75

4. 100

Q. The least common multiple of 5 and 8 is 80.

1. True
2. False

Q. Arrange the following in descending order.
$\frac{5}{2}$, $\frac{3}{2}$, $\frac{7}{2}$, $\frac{9}{5}$, $\frac{9}{8}$

1. $\frac{7}{2}$, $\frac{9}{8}$, $\frac{3}{2}$, $\frac{9}{5}$, $\frac{5}{2}$
2. $\frac{7}{2}$, $\frac{5}{2}$, $\frac{9}{5}$, $\frac{3}{2}$, $\frac{9}{8}$
3. $\frac{5}{2}$, $\frac{9}{5}$, $\frac{3}{2}$, $\frac{9}{8}$, $\frac{7}{2}$
4. $\frac{9}{8}$, $\frac{5}{2}$, $\frac{3}{2}$, $\frac{7}{2}$, $\frac{9}{5}$

Q. Three measuring rods are 6 cm, 4 cm and 8 cm long. Find the shortest length that can be measured exactly by each one of these rods.

1. 32 cm
2. 24 cm
3. 40 cm
4. 48 cm

Q.

LCM of 10 and 15 is _____

1. 15

2. 30

3. 25

4. 10