What is the greatest three-digit number which is exactly divisible by 12,14and 15?

Answers (1)

We need to find the LCM for the Greatest three-digit numbers

                                        $$12 = 2 	imes 2	imes 3 $$\$$ $$ 14 = 2 	imes 7 $$\$$ $$ 15 = 5 	imes 3 $$\$$ $$ LCM = 2	imes 2 	imes 3 	imes 5 	imes 7 $$\$$ $$ LCM = 420 $$\$$

Hence, the greatest three-digit numbers = 420

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