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Question Hard Mathematics Real Numbers 4: HCF and LCM using prime factorisation Class 10 Level 10

यदि दो संख्याओं का महत्तम समापवर्तक (18) और लघुत्तम समापवर्त्य (540) है, तथा एक संख्या (90) है, तो दूसरी संख्या क्या होगी?

If the HCF of two numbers is (18), their LCM is (540), and one number is (90), what is the other number?

Explanation opens after your attempt
Correct Answer

A. (108)

Step 1

Concept

For two numbers, product of numbers (=) HCF \(\times\) LCM.

Step 2

Why this answer is correct

The other number is \(\frac{18\times540}{90}=108\).

Step 3

Exam Tip

In such questions, write the formula first and then calculate. चरण 1: दो संख्याओं के लिए गुणनफल (=) महत्तम समापवर्तक \(\times\) लघुत्तम समापवर्त्य होता है। चरण 2: दूसरी संख्या \(=\frac{18\times540}{90}=108\) होगी। चरण 3: ऐसे प्रश्नों में पहले सूत्र लिखकर फिर गणना करें।

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