Question

Largest 4digit number exactly divided by product of 15 and 9

Answer 1

Step-by-step explanation:

product of 15 and 9=135

Find LCM of 15 and 9. as if a no. is divisible by LCM of two no.s then it is also divisible by no. itself and their product

LCM of 9 and 15 by prime factorisation

9=3×3

15=3×5

implies LCM=3×3×5=45.

Now divide 9999(largest 4 digit no.) by 45 implies

9999/45=222.2

multiply 45 by 222=9990.

Cross check

9990/135=74.