Question

अभाज्य गुणनखण्ड विधि द्वारा 57 तथा 171 का म॰ स॰ ज्ञात करें और उससे उसका ल॰ स॰ ज्ञात करें
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Answer 1

The LCM is 171.

• A number can be expressed as the product of its prime components through the process of prime factorization. A number with exactly two elements, 1 and the number itself, is said to be a prime number.
• Prime factorization is the technique of expressing a number as the product of prime numbers.
• The only two components in prime numbers are the number itself and the number itself.
• Any number can be represented as a sum of prime numbers using prime factorization.
• Prime factorization is the process of dissecting a number into the prime numbers that contribute to its formation when multiplied. In other terms, the prime factorization of a number refers to the process of multiplying prime numbers to produce the original number.

The prime factorization of,

57 = 3 × 19

171 = 3 × 3 × 19

Then the LCM = 3 × 3 × 19 = 171.

Hence, the LCM is 171.

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