SOLUTION: The difference between the lowest common multiple and greatest common divisor of the numbers 5, 10, and 35 is: a. 1745 b. 35 c. 65 d. 5 e. NG

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: The difference between the lowest common multiple and greatest common divisor of the numbers 5, 10, and 35 is: a. 1745 b. 35 c. 65 d. 5 e. NG      Log On


   

Question 242871: The difference between the lowest common multiple and greatest common divisor of the numbers 5, 10, and 35 is:
a. 1745 b. 35 c. 65 d. 5 e. NG
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
Well the lowest common multiple (LCM) means the lowest common whole number that all three numbers share when multiplied by a number greater than 1.
So 35%2A2+=+70
10%2A7+=+70
5%2A14+=+70
So 70 is the LCM.
The greatest common divisor (GCD) is the biggest whole number that can be divided into all three numbers. This must be 5.
35%2F5=7
10%2F5=2
5%2F5=1
The difference between the LCM and GCD is 65. So c).
Does that make sense?