What is the smallest number of 5 digit which is divisible by 12,15 and 18
Answers
Answered by
15
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Step 1 : Find L.C.M ( 12 , 15 ,18 )
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12 = 2 × 2 × 3
15 = 3 × 5
18 = 2 × 3 × 3
L.C.M = 2^2 × 5 × 3^2 = 180
since , we know that
smallest 5 digit number = 10000
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Step 2 : Devide 10000 by L.C.M
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10000/180 = 55.5... = 56 (approximate)
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Step 3 : multiply L.C.M by 56 (quotient)
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180 × 56 = 10080
therefore ,
required smallest 5 digit number
= 10080
_______________________________
Your Answer = 10080
_______________________________
Step 1 : Find L.C.M ( 12 , 15 ,18 )
______________________________
12 = 2 × 2 × 3
15 = 3 × 5
18 = 2 × 3 × 3
L.C.M = 2^2 × 5 × 3^2 = 180
since , we know that
smallest 5 digit number = 10000
______________________________
Step 2 : Devide 10000 by L.C.M
______________________________
10000/180 = 55.5... = 56 (approximate)
_______________________________
Step 3 : multiply L.C.M by 56 (quotient)
_______________________________
180 × 56 = 10080
therefore ,
required smallest 5 digit number
= 10080
_______________________________
Your Answer = 10080
_______________________________
Answered by
2
HI HERE IS THE ANSWER
FIRSTLY WE WILL TAKE LCM OF 12,15,18
LCM =180
5 DIGIT SMALLEST NUMBER =10000
DIVIDE THE 10000 WITH THE LCM
=10000÷180≈55.5
APPROXIMATE 55.5(56)
MULTIPLY APPROXIMATED QUOTIENT WITH 180 TO GET 5 DIGIT SMALLEST NUMBER DIVISIBLE BY 12,15,18
=180×56
= 10080
FIRSTLY WE WILL TAKE LCM OF 12,15,18
LCM =180
5 DIGIT SMALLEST NUMBER =10000
DIVIDE THE 10000 WITH THE LCM
=10000÷180≈55.5
APPROXIMATE 55.5(56)
MULTIPLY APPROXIMATED QUOTIENT WITH 180 TO GET 5 DIGIT SMALLEST NUMBER DIVISIBLE BY 12,15,18
=180×56
= 10080
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