Question

A teacher can divide her class into groups of 5,13 and 17. What is the smallest possible strength of the class

Answer 1

Answer:

first you have to find lcm

Step-by-step explanation:

lcm=5×13×271020

Answer 2

The smallest possible strength of the class is 1105

Solution:

Given that,

A teacher can divide her class into groups of 5,13 and 17

We have to find the smallest possible strength of the class

Which means, we have to find the least common multiple of 5 , 13 , 17

FIND LCM OF 5 , 13 , 17

List all prime factors for each number.

Prime Factorization of 5 shows:  5 is prime

Prime Factorization of 13 shows:  13 is prime

Prime Factorization of 17 shows:  17 is prime

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

5, 13, 17

Multiply these factors together to find the LCM

LCM = 5 x 13 x 17 = 1105

Thus the smallest possible strength of the class is 1105

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