Determine two numbers nearest to3000 exactly divisible by 5,7,14,15
Answers
Answered by
1
To get the answer , we have to find the LCM of all the numbers . The LCM is 210.So the numbers can be 2800 and 3200 .
Answered by
3
Hi ,
Find the LCM of 5 , 7 , 14 , 15
5 l 5 , 7 , 14 , 15
______________
7 l 1 , 7 , 14 , 3
______________
1 , 1 , 2 , 3
Therefore ,
LCM ( 5 , 7 , 14 , 15 ) = 5 × 7 × 2 × 3
= 210
Multiples of 210 upto 3000
= { 210 , 420 , 630 , 840 , 1050 ,
1260 , 1470 , 1680 , 1890 ,
2100, 2310 , 2520 , 2730 ,
2940 }
Required nearsest two numbers
which are divisible by 5 , 7 , 14 , 15
are 2730 and 2940.
I hope this helps you.
***
Find the LCM of 5 , 7 , 14 , 15
5 l 5 , 7 , 14 , 15
______________
7 l 1 , 7 , 14 , 3
______________
1 , 1 , 2 , 3
Therefore ,
LCM ( 5 , 7 , 14 , 15 ) = 5 × 7 × 2 × 3
= 210
Multiples of 210 upto 3000
= { 210 , 420 , 630 , 840 , 1050 ,
1260 , 1470 , 1680 , 1890 ,
2100, 2310 , 2520 , 2730 ,
2940 }
Required nearsest two numbers
which are divisible by 5 , 7 , 14 , 15
are 2730 and 2940.
I hope this helps you.
***
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