LCM

Q. The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively, is 1394. How?

Q. Which is the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case?

1. 121
2. 131
3. 144
4. 151

Q.

The least number of 5 digit which is exactly divisible by 16, 24, 36, 54

Q.

To add $\frac{2}{5}$ and $\frac{3}{7}$ , first we have to find the LCM of ____________.

1. $2$ and $3$
2. $2$ and $7$
3. $5$ and $7$
4. $3$ and $5$

Q.

The HCF of $2472,1284$and a third number$n$is$12$. If their LCM is$2^3\times 3^2\times 5\times 103\times 107$. Find the number $n$.

Q.

Find the greatest four digit number which is exactly divisible by 18, 24, 36

Q.

Find the largest number which divides $615$and $963$ leaves the remainder $6$ in each.

Q. Two brands of chocolates, brand A and brand B are available in packs of 24
and 15, respectively. If Rima needs to buy an equal number of chocolates of
both kinds, what is the least number of packs of each kind she needs to buy
respectively?

1. 8, 5
2. 5, 4
3. 10, 8
4. 5, 8

Q.

Four bells ring at an interval of 6, 8, 12 and 20 min they ring together at 8 am what time will they ring together again

Q. Find the smallest number which, when increased by 1 is exactly divisible by 12, 18, 24, 32, and 40.

1. 1427
2. 1536
3. 1439
4. 2412

Q.

Three measuring rods are 45 CM, 50 CM, 75 CM in length. What is the least length (in metres) of a rope that can be measured the full length of each of these three rods?

Q. Find the least number which when divided by 15, 20, 35, 45 leaves remainder 5 in each case

Q.

How to find HCF of $430,516$ and $817$ by using the long division method.

Q.

The smallest three digit number which is divisible by 12, 16 and 24 is

1. 1172

2. 1122

3. 8640

4. 1152

Q.

3 bells commence tolling together and toll at intervals of 8, 10 and 12 seconds respectively. The bells will toll together after every

1. 110
2. 100
3. 120

Q.

Find the least number which when divided by 9, 15 , 18 leaves remainder 7 in each case explain

Q.

A number is divisible by both 4 and 9 . By which other number will that number be always divisible?

Q.

Find the smallest number of 5 digits which is exactly divisible by 15, 24 and 40 .

I am unable to understand the following solution . kindly help.

LCM of 15, 24 and 40 is 120.

I divide 10000 by 120 , quotient is 83 and remainder is 40.I require to subtract 40 from 120 and add the difference to 10000 in order to get the required number .Why donI need to subtract ?

Q.

What is the LCM of $2$ and $4$?

Q.

Find the least five digit number that is exactly divisible by 9, 12, 15, 18 and 24.

Q.

Find the HCF of $72$and $108$

Q. Four bells rang at an interval of 3, 7, 12, 14 mins respectively. All four bells rang at 12 noon . When will they ring together again

Q.

Four bells ring at intervals of 6, 7 , 8 and 9 seconds respectively. All the bells will ring together after

a) 504 seconds b) 516 seconds

c 512 seconds c) 508 seconds

Q. Four bells ring at an interval of 4, 7, 12 and 14 seconds respectiv
if the four Bells begin to ring at 12 o'clock when will the next ring together and how often will they do so in the next 14 minutes.

Q.

Find the smallest $4$-digit number which is divisible by $18,24$ and $32$.

Q.

Three measuring rods are 50cm, 45cm, 75cm in length. What is the least length in metres of a rope that can be measured by the full length of each of these rods?

Q. Find the largest number which divides $245$ and $1029$ leaving remainder $5$ in each case.

Q.

Find the largest two-digit number that divides $673$ and $865$ leaves the remainder $1$ in each.

Q.

What is the LCM of two consecutive numbers?

Q. How many whole numbers less than 100 are divisible by 2 and 3 both ?