Q3 of 114 Page 10

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

We know that LCM × HCF = product of numbers.

Let the other number be x.


So, 161 × x = 23 × 1449


⇒ x = 207


More from this chapter

All 114 →
1

Using prime factorization, find the HCF and LCM of:

i. 36, 84 ii. 23, 31


iii. 96, 404 iv. 144, 198


v. 396, 1080 vi. 1152, 1664


In each case, verify that:


HCF x LCM = product of given numbers.

 2

Using prime factorization, find the HCF and LCM of:

i. 8, 9, 25 ii. 12, 15, 21


iii. 17, 23, 29 iv. 24, 36, 40


v. 30, 72, 432 vi. 21, 28, 36, 45

 4

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

 5

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