Question

LCM of 540 and 648 is 3240. it is given as 2^m×3^n×q. find m,n and q​

Answer 1

Answer:

Answer:

1.Find the prime factorization of 432

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

2.Find the prime factorization of 648

648 = 2 × 2 × 2 × 3 × 3 × 3 × 3

3.Multiply each factor the greater number of times it

occurs in steps i) or ii) above to find the lcm:

4.LCM = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

LCM = 1296

Answer 2

Step-by-step explanation:

Factors of 3240 are the list of integers that we can split evenly into 3240. There are total 40 factors of 3240, of which 2, 3, 5 are its prime factors. The sum of all factors of 3240 is 10890.

All Factors of 3240: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620 and 3240

Prime Factors of 3240: 2, 3, 5

Prime Factorization of 3240: 23 × 34 × 51

Sum of Factors of 3240: 10890