Find the number closest to 10000 and divisible by 30, 45 and 15
Answers
Answer:
9900
Step-by-step explanation:
Given Find the number closest to 10000 and divisible by 30, 45, and 15
Now we need to find the LCM of 30,45,15
3 30 45 15
5 10 15 5
2 3 1
So we get LCM as 3 x 5 x 2 x 3 = 90
Now we need to divide 10,000 by 90 we get
90 ) 10,000 (111
90
-------------------------
100
90
----------------------------
100
90
-----------------------------------
10
So we get the Remainder as 10
Now there will be two possibilities and so we get
10,000 – 10 = 9,990
One more possibility will be
10,000 + (90 – 10)
10,000 + 80
10,080
So the number closest to 10,000 will be 9,990
Answer: