Math, asked by meghrajsharma, 1 year ago

what is the smallest number that when divided by 35, 56 and 91 leaves remainder 7 in each case. Pls answer fast

Answers

Answered by nchauhan9856
0
3647 is the smallest no.


meghrajsharma: pls send the calculation as well
Mayur3061: ok
Answered by Mayur3061
1
first subtract 7 from each no
35-7=28
56-7=49
91-7=84

now find lcm of 28 ,49 ,84
28=2,2,7
49=7,7
84=2,2,3,7
Lcm = 2x2x7x7x3=588

nchauhan9856: and of 56 is 2*2*2*7
nchauhan9856: and of 91 is 13*7
Mayur3061: and 91= 7x13
Mayur3061: 5x2x2x2x7x13 =3654
Mayur3061: oo sorry
nchauhan9856: therefore lcm is 7*2*2*2*13*5=3640
Mayur3061: 3640
Mayur3061: and when we add 7 then it will be 3647
nchauhan9856: remainder remains 7 so, add 7 in 3640=3647
nchauhan9856: thats it
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