To calculate the LCM of 1024 with any number n, write n in its prime factorized form 2^a × 3^b × 5^c. The LCM is formed by taking the maximum exponent of 2 between 10 and a, along with the highest powers of all other distinct prime factors.

To calculate the LCM of 1024 with any number n, write n in its prime factorized form 2^a × 3^b × 5^c. The LCM is formed by taking the maximum exponent of 2 between 10 and a, along with the highest powers of all other distinct prime factors.

Lcm ka question 1024 kasa karna hai

Answer: 1024 = $2^{10}$

Step-by-step solution

Step 1: Prime Factorize 1024

To find the prime factors of $1024$ , divide repeatedly by the smallest prime number, which is $2$ . Dividing $1024$ by $2$ gives $512$ , then $256$ , $128$ , $64$ , $32$ , $16$ , $8$ , $4$ , $2$ , and finally $1$ . This means $2$ is multiplied $10$ times.

Step 2: Express in Exponential Form

Writing the prime factorization in index form gives $2^{10}$ . When finding the LCM involving $1024$ and any other number, take the highest power of each prime factor present.

Step 3: Apply Rule for LCM

To calculate the LCM of $1024$ with any number $n$ , write $n$ in its prime factorized form $2^a \times 3^b \times 5^c \dots$ . The LCM is formed by taking the maximum exponent of $2$ between $10$ and $a$ , along with the highest powers of all other distinct prime factors.

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