Question

find the smallest 4 - digit number which is exactly divisible by 10,17,85,170,425.

Answer 1

Finding l.c.m if these no.  10=5*2*1 17=17*1 85=17*5*1 170=17*5*2*1 425=17*5*5*1 L.C.M=17*5*5*2=850 Since it is a three digit number now we have to find a four digit number 425 is the largest number in our series so the first number which is phone number and is divisible by 425 is 1275 but 1275 is not divisible by 10 as it can be seen clearly So next four digit number is 1700 which is divisible by all the above numbers so by giving preference to the largest number we can find the smallest number which can be divisible by all those numbers. hence the answer is 1700

Answer 2

Finding l.c.m if these no.  10=5*2*1 17=17*1 85=17*5*1 170=17*5*2*1 425=17*5*5*1 L.C.M=17*5*5*2=850 Since it is a three digit number now we have to find a four digit number 425 is the largest number in our series so the first number which is phone number and is divisible by 425 is 1275 but 1275 is not divisible by 10 as it can be seen clearly So next four digit number is 1700 which is divisible by all the above numbers so by giving preference to the largest number we can find the smallest number which can be divisible by all those numbers. hence the answer is 1700

Answer:

Step-by-step explanation: