10. Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.
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2
Step-by-step explanation:
Now, greatest 6-digit number is 999999. Now, We will divide this number by LCM of 24,15 and 36, we will get, 999999/360 will give remainder 279. So, 999999 – 279 = 999720.
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Answer:
24=2×2×2×3
15=3×5
36=2×2×3×3
LCM=2³×3²×5¹
=8×9×5
=72×5
=360
Hence, greatest number divisible by 24,15 and 36 is 360.
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