Question

What number nearest to 100,000 is exactly divisible by 2, 3, 4, 5, 6 and 7?

99,960

99,965

99,970

99,980

Answer 1

first find the numbers with the factors of:
2,3,4,5,6,7
find the minum
if something has a factor of 6 then it also has a factor of 3 and 2 so just multiply by the lcm of all of them which is found by
2=2
3=3
4=2 times 2
5=5
6=2 times 3
7=7

LCM=2 times 2 times 3 times 5 times 7=420

now divide 100000 by 420 and round down
100000/420=238.095=238.1 round doen 238

multiply 420 by 238 and get 99960

that is the answer 99960