Question

If an integer k is divisible by 2 ,5,13.what is the next largest number that is divisible by all the 3 given numbers

Answer 1

LCM of (2,5 and 13) Is 130
K= 130

So, The Next largest number is 2k
2x130= 260
Or k +130= 130+130= 260.

Hope it Helps........

Answer 2

Answer:

Required Number is k + 130 .

Step-by-step explanation:

Given:

Integer k is divisible by 2 , 5 , 13

To find: Next largest number that is divisible by given numbers.

LCM and multiples of the LCM of the given numbers are number divisible by given numbers.

2 , 5 and 13 are co prime numbers.

So, LCM of 2 , 5 and 13 = 2 × 5 × 13 = 130

⇒ Some multiple of 130 is divisible by given numbers.

Required Number = k + 130

Therefore, Required Number is k + 130 .