The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively, is 1394. How?

Audrey Hall

Audrey Hall

Answered question

2023-03-25

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively, is 1394. How?

Answer & Explanation

srnessgebf

srnessgebf

Beginner2023-03-26Added 8 answers

20–14 =6
25–19=6
35–29=6
40–34 = 6
LCM of 20, 25, 35 and 40 -
20 = 2^2 * 5
25 = 5^2
35 = 5*7
40 = 2^3 * 5
LCM = 2^3 * 5^2 * 7 = 1400
Answer = 1400 - 6 = 1394

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