Question

The LCM of two numbers is 1360 and their HCF is 20. If one of the numbers is 80, then the other number is

• A. 380
• B. 360
• C. 320
• D. 340

Hint:

Use formula: Product of numbers = LCM × HCF.

Answer 1

The Correct Option is D

To find the other number when the LCM and HCF of two numbers are given along with one of the numbers, we can use the relationship between LCM, HCF, and the two numbers.

The formula to use is:

\(LCM \times HCF = \text{First Number} \times \text{Second Number}\)

We know:

• LCM = 1360
• HCF = 20
• First Number = 80

Substituting these values into the formula:

\(1360 \times 20 = 80 \times \text{Second Number}\)

Simplifying the above equation:

\(27200 = 80 \times \text{Second Number}\)

To find the second number, divide both sides by 80:

\(\text{Second Number} = \frac{27200}{80}\)

Calculating the division gives:

\(\text{Second Number} = 340\)

Therefore, the other number is 340.

Thus, the correct answer is 340.