Find the least number which when divided by 9 ,12 and 16 ,leaves a remainder of 3 in each case
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Take the LCM of 9, 12, 16 and 30.
LCM ( 9, 12, 16, 30 ) = 720.
720 is the least no. that can divide these no. leaving remainder 0.
We have to find out the number that divides leaving remainder 3 in each case.
So, we add 3 to 720.
➡ 720 + 3 = 723.
Required no is 723.
Let's check this number.
➡ 723 ÷ 9 => q = 80 and r = 3
➡ 723 ÷ 12 => q = 60 and r = 3
➡ 723 ÷ 16 => q = 45 and r = 3
➡ 723 ÷ 30 => q = 24 and = r = 3
Hope it will help u !!
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