find the least number when divided by 16,36 and 40 leaves 5 as remainder in each case
Answers
Answer:
answer is below hope so it helps please mark it as brainliest if it help so !.
Step-by-step explanation:
There seem to be a lot of Least Common
Multiple (LCM) questions on Quora lately and
this is another one. The answer to this one is 5
more than the LCM of 16, 36 and 10. To find the
LCM. break down each of the numbers into its
prime factors. Thus 16 2x2x2x2, so the LCM
will have to have at least four factors of 2:
similarly, 36 2x2x3x3 and 40 2x2x2x5,
so the LCM will also have to have at least two
factors of 3 and a single 5. Gathering the
necessary factors, we get the LCM of 2x2x2x2
x3x3x5-720. Adding the remainder from
each division), we get 725. Checking. 725 (16x
45)+5(36 x 20) 5 (40 x 30+5.
Answer:
hey
number =L.C.M(16,36,40,)+5
16=2~4
36=2square *9
40=2 cube *5
LCM= (16,36,40)=485
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