find the greatest number of 3 digit that can be exactly divided by 25 45 and 60
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Answered by
1
Find LCM of 25, 45, and 60:
25 = 5²
45 = 5 x 3²
60 = 5 x 3 x 2²
LCM = 5² x 3² x 2² = 900
Find Greatest 3-digit number divisible by these numbers:
999 ÷ 900 =1.11
900 x 1 = 900
Answer: The number is 900
Answered by
1
First find the LC.M. of 25,45 and 60.
5 |25,45,60
3 |5,9,12
3 |5,3,4
5 |5,1,4
2 |1,1,4
2 |1,1,2
|1,1,1. Least Common Multiple of these three numbers =5×3×3×5×2×2=900.So the greatest number of 3 digits which can be exactly divided by 25,45,60 is 900 only. Hope it helps you
5 |25,45,60
3 |5,9,12
3 |5,3,4
5 |5,1,4
2 |1,1,4
2 |1,1,2
|1,1,1. Least Common Multiple of these three numbers =5×3×3×5×2×2=900.So the greatest number of 3 digits which can be exactly divided by 25,45,60 is 900 only. Hope it helps you
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