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CBSE Class 10 Answered

Find the largest number of 4-digits which is divisible by 4, 6, 8, 9, 10.
Asked by susrisangita792 | 22 Apr, 2023, 09:13: PM
answered-by-expert Expert Answer
The largest 4-digit number is 9999.
The number divisible by 4, 6, 8, 9, 10 is the LCM
LCM = 2 x 2 x 2 x 3 x 3 x 5 = 360
Let us divide 9999 by 360 and we get the remainder as 279.
But 9999 - 279 = 9720
Thus, 9720 is the required 4-digit number divisible by 4, 6, 8, 9, 10.
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