Question

On the occasion of Shiva's birthday, he distributed 40 Snickers and 36 chocolates equally to his friends whos is the greatest number of his friends? Find​

Answer 1

Explanation:

To determine the greatest number of Shiva's friends that he can distribute the Snickers and chocolates to equally, we need to find the least common multiple of 40 and 36.

The least common multiple of 40 and 36 is 120, since it is the smallest number that is a multiple of both 40 and 36.

Therefore, Shiva can distribute the Snickers and chocolates to a maximum of 120 friends, since this is the greatest number of people that he can divide the treats equally among.

If he has fewer than 120 friends, he can still distribute the treats equally among them by simply dividing the total number of treats by the number of friends he has. For example, if he has 80 friends, he can give each of them 1 Snickers and 1 chocolate, since 80 is a factor of both 40 and 36.

Answer 2

Explanation:

To find the greatest number of friends that Shiva has, we need to find the number of groups into which he can divide the Snickers and chocolates. Since both the Snickers and chocolates are being divided equally, we can find the number of groups by finding the least common multiple (LCM) of 40 and 36.

The least common multiple of 40 and 36 is the smallest positive integer that is divisible by both 40 and 36. To find the LCM, we can use the prime factorization method.

The prime factorization of 40 is 2^3 * 5

The prime factorization of 36 is 2^2 * 3^2

The LCM is the product of the highest powers of each prime number: 2^3 * 3^2 * 5 = 180

Thus, Shiva has 180 Snickers and chocolates in total, and he can divide them equally into groups of the same size. Therefore, the greatest number of his friends is 180/1 = 180 friends.