Answers

2015-09-26T13:26:22+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
First we look for the LCM of 12, 14, 18, and 21
12 = 2² * 3
14 = 2 * 7
18 = 2 * 3²
21 = 3 * 7

LCM = 2² * 3² * 7 = 252

Therefore the least number is 252 - 5 = 247.
0
2015-09-26T13:34:45+08:00
We just have to find the LCM of 12, 14, 18, and 21 and then subtract 5 from it.
The LCM of 12, 14, 18, and 21 is 252.
252 - 5 is 247

So the number is going to be 247
247 + 5 = 252
252 / 21 = 12
252 / 18 = 14
252 / 14 = 18
252 / 12 = 21

So therefore, the least number when increased by 5 that is divisible by 12, 14, 18, and 21 is 247. 


0