Questions on LCM and HCF 25 Aug 2012 Post Afternoon
Question for practice
The following questions are more helpful for class tenth students for all boards.
Questions 16. Find the sum of the numbers between 300 and 400 such that when they are divided by 6, 9 and 12 it leaves no remainder.
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Consider the numbers such that when each number is divided by 6,9 and 12, it leaves no remainder in each case.
ReplyDeleteLCM of 6,9,12 is 36.
The required no. is 0+36*n where n is any no. between 300-400.
After finding the multiples of 36 between 300-400 which are 324,360,396. therefore the sum of the numbers is 1080
the LCM of 6,9 and 12 is 36
ReplyDeleteits is lowest common factor and multiples of 36 would also be common factors of 6,9 and 12
36's multiples between 300- 400 are only 324 , 360 and 396 which add up to 1080 which is the answer because it is exactly divisible by 6 , 9 and 12
1080 / 6 = 180
1080 / 9 = 120
1080 / 12 = 90
Ans. the LCM of 6 , 9 ,12 = 36
ReplyDeletetherefore , multiples of 36 between 300-400 = 324, 360, 396
324+360+396 = 1080
therefore , sum of the no.s is 1080 , which when divided by 6,9 ,12 leave no remainder.