LCM of Plants
A gardener is arranging and re-arranging some plants in a systematic way. in the process he arranges it in pairs; sometimes in a trio, sometimes in a group of four, sometimes in five and also in six. In all these arrangements, he finds one plant is left over. When he arranges it in a group of seven, none of the plant is left over. What is the total number of plants with the gardener?
The answer is 301.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
LCM of 2,3,4,5,6 is 60.
Now, the number of plants should be multiple of 60 and with the addition of on plant.
At the same time, this number should be divisible by 7. Out of 61,121,181,241 and 301 only 301 is divisible by 7.
Hence there are 301 plant