Math, asked by jasssandhu185, 5 hours ago

find the greatest 3-digit number that is exactly divisible by 6,15 and 21?

Answers

Answered by TheBlood

Question:

find the greatest 3-digit number that is exactly divisible by 6,15 and 21?

Answer:

840

Step-by-step explanation:

To get the required number, we find the LCM of 6, 15 and 21.

LCM = 3x2x5x7 = 210

Now, all the multiples of 210 will be divisible by 6, 15 and 21. These numbers are 210, 420, 630, 840, 1050,.... Thus, the required greatest 3-digit number is 840.

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