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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 12
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If the LCM of (128), (192), and (343) is found, what will be the power of (7) in it?

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Answer and explanation

Correct answer: (3)

Step 1: (128=2^7), (192=2^6\times3), and (343=7^3). Step 2: (7) appears from (343) as (7^3), so its power in the LCM is (3). Step 3: A prime appearing in only one number is still included in the LCM.

Related tags

Real-NumbersLcmPrime-Power

Frequently asked questions

What is the correct answer to this question?

(3)

Why is this the correct answer?

Step 1: (128=2^7), (192=2^6\times3), and (343=7^3). Step 2: (7) appears from (343) as (7^3), so its power in the LCM is (3). Step 3: A prime appearing in only one number is still included in the LCM.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.

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