The highest 3-digit number divisible by 2, 3, 4, 5, 6 and 7 is,
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What is the highest 3 digit number which is exactly divisible by 3, 5, 6 and 7? The least number which is exactly divisible by 3, 5, 6, & 7 is LCM(3, 5, 6, 7) = 210. So, all the multiples of 210 will be exactly divisible by 3, 5, 6 and 7. Thus, such greatest 3 digit number is 840 (210 × 4).
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Answer:
840
Step-by-step explanation:
The least number which is exactly divisible by 3, 5, 6, & 7 is LCM(3, 5, 6, 7) = 210. So, all the multiples of 210 will be exactly divisible by 3, 5, 6 and 7. Thus, such greatest 3 digit number is 840 (210 × 4).
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