Find the LCM of the largest 2-digit integer, the square of eleven and the square of nine.

Question

anonymous · Answer

@kropot72

anonymous · Answer

@jim_thompson5910 ,@Compassionate ,@tkhunny

ganeshie8 · Answer

whats the largest 2-digit integer ?

anonymous · Answer

99*99=9801

anonymous · Answer

squARE Of 11 is132  and 9 is  81

ganeshie8 · Answer

thats right ! i would have worked it by prime factorization..

anonymous · Answer

lol square of 11 is 121

anonymous · Answer

ya @Yahoo!

anonymous · Answer

so answer is 9801

ganeshie8 · Answer

99 =  9.11 = 3^2.11
11^2         =        11^2
9^2           =  3^4

anonymous · Answer

121*81=9801

ganeshie8 · Answer

LCM = 3^4*11^2 =  9801

anonymous · Answer

How many numbers divisible by each of the numbers 21, 36 and 66 are there, such that they are less than 10, 000?

ganeshie8 · Answer

the least number thats divisible by given set of numbers is their LCM

anonymous · Answer

2772

ganeshie8 · Answer

thats the LCM

ganeshie8 · Answer

so any number of form 2772k will divisible all 3 numbers 21,36 and 66

ganeshie8 · Answer

how many numbers are there of that form under 10,000 ?

anonymous · Answer

9999/2772 =remainder 1683 
9999-1683=ans?

ganeshie8 · Answer

nope, you need to find the multiples of 2772 :

2772x1 = 2772
2772x2 = ?
2772x3 = ?
2772x4 = ?

ganeshie8 · Answer

stop when you exceed 10,000

anonymous · Answer

its upto 3

anonymous · Answer

8316

ganeshie8 · Answer

yes, there are exactly 3 numbers less than 10,000 that will be divisible by all 21,36 and 66