Lowest Common Multiple

Q.

Four bells ring at intervals of 3, 7, 12 and 14 minutes respectively. All four ring together at 12 noon. When will they ring together again.

Q.

The circumference of four wheels are 50 CM, 60 CM, 75 CM and 100 CM. They start moving simultaneously. What least distance should they cover so that each wheel makes a complete number of revolutions?

Q. Sara goes to dance class once every 6 days, to karate class once every 12 days and to art class once every 18 days. If she attended all the three classes on 1st April then, on which nearest date will she attend all the three classes again?

1. 4th May
2. 5th May
3. 6th May
4. 7th May

Q.

The HCF of 75 and 90 is 15. What is their LCM?

1. 180
2. 300
3. 450
4. 150

Q.

Determine the L.C.M. of $225$ and $300$.

Q.

The product of two numbers is 228. Their HCF is 12, then their LCM will be:

1. 20

2. 19

3. 1

4. 0

Q.

A number is divisible by 14 . By which other number will that always divisible ?

Q.

Are all numbers ending with 3, prime numbers

Q.

Find the largest number that divides $220,313$, and $716$ leaving remainder $3$ in each case.

Q. 1) A mtro train on platform A arrives after every 3 minutes 12 seconds and another metro train on platform B arrvies after every 1 mintues 12 seconds. At 8 am on a particular day both trains arrive on the respective platforms together. At what time will both the platforms have trians together again ?

Please show with the workings

Q.

The product of two numbers is $75$ and their HCF is $5$. What is the LCM of two numbers ?

Q.

Telephone poles occur at equal distance of $220$ m along a railway track and heaps of stones are put at equal distance of $360$ m along the same track. The first heap is at the foot of the first pole. How far from it along the track is the next heap, which lies at the foot of a pole?

Q. If the sum of LCM and HCF of two numbers is 260 and their LCM is 900 more than their HCF, then the product of two numbers is:

1. 203400
2. 194400
3. 198400
4. 205400

Q. Zoya takes 25 minutes to walk to school, while Manu takes 15 minutes to walk the same distance. If Zoya leaves at 8:10 AM, while Manu leaves at 8:15 AM, who arrives at school earlier?

1. None of the above
2. Both reach at the same time.
3. Manu
4. Zoya

Q.

Find the HCF and LCM of (a) 145, 232 (b) 693, 1078

Q.

L.C.M of 12 and 90 is _____.

1. 90

2. 360

3. 180

4. 150

Q.

Find the L.C.M of $24,72$and $60$ using prime factorisation.

Q.

Find the LCM of $24$ and $8$.

Q.

Good afternoon mam/sir

I am Harshita and my query is:

Four bells toll after an interval of 8, 9, 12and 15seconds respectively.when will they toll again?

Thank you

Q. LCM of 16 and 24 is ___.

1. 16
2. 24
3. 384
4. 48

Q.

Find the least number which when divided by $6,15$ and $18$ leave remainder $5$ in each case.

Q.

The smallest 3 digit number which is completely divisible by 18, 24 & 32 is

1. 1172

2. 1122

3. 1152

4. 8640

Q. Savita bought $\frac{2}{5}$ m of ribbon and Kavita $\frac{3}{4}$ m of the ribbon. What was of the total length of the ribbon they bought?

Q.

LCM of two numbers is 12 and HCF of the same two numbers is 2. If one of the numbers is 6 then another number is :

1. 4

2. 12

3. 6

4. 14

Q.

LCM of $44$ and $22$ is:

1. $11$

2. $22$

3. $44$

4. $88$

Q.

The H.C.F of two numbers 9 and 12 is 3. Find its L.C.M.

1. 46

2. 36

3. 26

4. 16

Q. What is the smallest number which when divided by 24, 36 and 54 gives a remainder of 5 each time?

Q. If the HCF and LCM of two numbers are given as 5 and 100 and one of the numbers is 25, then the other number is

1. 20
2. 24
3. 21

Q.

The HCF of two numbers is 0.05 and the product of the numbers is 0.825. What is the LCM of the numbers?

1. 165

2. 16.5

3. 0.55

4. 1.6

Q.

Find the LCM of the numbers 6, 9 and 30.

1. 40
2. 20
3. 80
4. 10