Find the least number which when divided by 8,14,20,25 leaves 4 as remainder in each case
Answers
Answered by
2
Answer:
1404
The least number which when divide by 8,14,20,25 and leaves 4 as remainder in each case is 1404.
Step-by-step explanation:
here is u r answer...
mark me as brainliest...
hope this will help u...
Answered by
5
Answer:
1404
Step-by-step explanation:
L.C.M. of 8,14,20, and 25
8 = 2*2*2
14 = 2*7
20 = 2*2*5
25 = 5*5
L.C.M. of 8,14,20, and 25= 2*2*2*5*5*7 = 1400
Now,
4+1400 = 1404
Hence, 1404 is the least number which when divided by 8,14,20, and 25 leaves a remainder 4 in each case.
________________________________________
Verification:
1) 1404/8
Quotient = 175
Remainder = 4
2) 1404/14
Quotient = 100
Remainder = 4
3) 1404/20
Quotient = 70
Remainder = 4
4) 1404/25
Quotient = 56
Remainder = 4
So, the required number is 1404.
Similar questions
English,
2 months ago
Math,
5 months ago
English,
5 months ago
English,
10 months ago
Social Sciences,
10 months ago