Question

The HCF and the LCM of two numbers are 15 and 1575 respectively. If one of the number is 105, determine the other.

Answer 1

225

Question states that the HCF of two numbers is 15 and LCM of two numbers is 1575 respectively and one of the number is 105. & we've to calculate the other number.

Let's say, that the other number be x.

★ LCM × HCF = Product of two numbers ★

• HCF = 15
• LCM = 1575
• Number = 105

↠⠀⠀1575 × 15 = x × 105

↠⠀⠀23625 = 105x

↠⠀⠀x = 23625⁄105

↠⠀⠀x = 225

❝ Hence, the other number is 225. ❞

$\rule{220px}{.2ex}$

• V E R I F I C A T I O N :

↠⠀⠀LCM × HCF = Product of two numbers

↠⠀⠀1575 × 15 = x × 105

↠⠀⠀23625 = 225 × 105

↠⠀⠀23625 = 23625 ⠀⠀⠀⠀⠀⠀⠀☆ Hence Verified!

Answer 2

Given :-

The HCF and the LCM of two numbers are 15 and 1575 respectively. If one of the numbers is 105,

To Find :-

Number

Solution :-

We know that

LCM × HCF = Product of two number

1575 × 15 = 105 × Other number

23625 = 105 × Other number

23625/105 = Other number

225 = Other number

Hence

Other number is 225

Know More :-

LCM = LCM is the abbreviation of Lowest common multiple. It is the lowest number which is exactly divisible by two or more number

HCF = HCF is the abbreviation of Highest common factor. It is the highest factor in a group of numbers