3 years ago

How many 4-digit number are divisible by 7,8,10 and 25

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.

LCM(7, 8, 10, 25) = 7×8×25 = 1400

There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...

1400, 2800, 4200, 5600, 7000, 8400, 9800

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How many 4-digit number are divisible by 7,8,10 and 25​

How many 4-digit number are divisible by 7,8,10 and 25