Product of Two Numbers = HCF X LCM of the Two Numbers

Q.

Given that HCF (306, 657) = 9, find LCM (306, 657)..

Q. The LCM of two numbers is 1200. Which of the following cannot be their HCF?

1. 600
2. 400
3. 500
4. 200

Q.

Can two numbers have 15 as their H.C.F. and 175 as L.C.M. Give reason

Q.

The LCM of two numbers is 14 times their HCF . The sum of LCM and HCF is 600. If one number is 280 , find the other .

Q. If two positive integers p and q are written as p=a²b³ and q=a³b; a and b are prime numbers, then verify:
LCM(p, q)*HCF(p, q)=pq

Q. There are 156, 208 and 260 students in groups A, B and C, respectively. Buses are to be hired to take them for a field trip. Find the minimum number of buses to be hired, if the same number of students should be accommodated in each bus.

Q.

a forester wants to plant 66 apple trees, 88 banana trees and 110 mango trees in equal rows(in terms of number of trees). also he wants to make distinct rows of trees (i.e. only the type of tree in the row) find the number of minimum rows required

Q.

Find the HCF and lcm of 8/9, 10/27 AND 16/81

Q.

The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other.

Q.

The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.

Q.

Find HCF of $306$ and $657$ also find their LCM using their HCF

Q.

The HCF of two numbers is 18 and their product is 12960. Find their LCM.

Q. If HCF (26, 169) = 13, then LCM (26, 169) =

(a) 26
(b) 2
(c) 3
(d) 4

Q.

The HCF of 65 and 117 is expressible in the form 65m-117. Find the value of m. Also find the LCM of 65 and 117 using prime factorization method.

Q.

Given that HCF (2520, 6600) = 120, LCM (2520, 6600) = 252 k, then the value of k is:

1. 550

2. 165

3. 625

4. 500

Q.

If L.C.M. (150, 100) = 300, then find H.C.F. (150, 100).

1. 25

2. 50

3. 45

4. 75

Q.

Given that HCF(2520, 6600)=40LCM(2520, 6600)=252×k then find the value of k.

Q. The sum of two numbers is 135 and their H.C.F. is 27. If their L.C.M. is 162, the numbers are:

1. 108, 27
2. 72, 54
3. 81, 54
4. 99, 36

Q. If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is

(a) 203400
(b) 194400
(c) 198400
(d) 205400

Q.

The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is:

(a) 8000 (b) 1600 (c) 320 (d) 1605

Q.

Question 2 (i)
Find the LCM and HCF of 26, 91 and verify that LCM $\times$ HCF = product of the two numbers.

Q. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs of these two numbers is

1. 1
2. 3
3. 2
4. 5

Q.

If HCF of two numbers is 6 and lcm of two same two numbers is 72.Find the numbere

Q.

The HCF of two numbers is 13 and LCM is 1001. Find the larger number.

1. 299

2. 276

3. 322

4. 345

Q.

The HCF and LCM of 2 numbers are 4 and 24 respectively .If one number is 8, find the other number.

1. 24

2. 8

3. 12

4. 4

Q. If the product of two numbers is 1050 and their HCF is 25, find their LCM.

Q.

The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.

Q.

Product of two numbers is 27.HCF of that numbers is 3 what is LCM

1. 9

2. 4

3. 6

4. 8

Q. If the HCF of two numbers is 126, then their LCM can be

1. 189
2. 315
3. 252
4. 441

Q.

Using Euclids algorithm, find the $\mathrm{HCF}$ of $240$ and $228$.