Find the greatest number of six digits exactly divisible by 6, 8, and 45.
Answers
Answered by
1
1)999720
2)999960
3)idk
2)999960
3)idk
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0
Answer:
Let us find the LCM of 6,8,45
LCM of 6= 2 ×3
LCM of 8= 2³
LCM of 45= 3×3×5
LCM of (24, 15 and 36) = 2⁴×3³×5
LCM of (24, 15 and 36) = 2160
The greatest 6-digit number is 999999
Let us divide the greatest 6-digit number by LCM of (6,8 and 45)
⇒ 999999/2160
Reminder is 279
∴ 999999−279 = 999720
999720 is the greatest number 6-digit number divisible by 24,15 and 36.
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