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Aptitude · Q118

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 118

Q118

What is the least natural number which leaves no remainders when divided by all the digits from 1 to 9 ?

A.
1800
B.
1920
C.
2520
Answer
D.
5040

Answer: Option C

Solution

Answer: Option C
Solution:
The least natural number which leaves no remainder when divided by all the digit from 1 to 9 should be the LCM of 1 to 9.
∴ Required number
= LCM of (1, 2, 3, 4, 5, 6, 7, 8, 9)
= 2 × 2 × 3 × 5 × 7 × 2 × 3
= 2520