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LCM and HCF Practice Test 3
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© examsnet.com
Question : 2
Total: 40
The largest four-digit number divisible by 48, 60 and 64 will be
7200
9600
8400
10,000
Validate
Solution:
In this question LCM of the given numbers 48, 60, 64 has to be found out.
48 = 2 × 2 × 2 × 2 × 3;
60 = 2 × 2 × 3 × 5
64 = 2 × 2 × 2 × 2 × 2 × 2
∴ LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 = 960
∵ Largest 4-digit number = 9999
∴
960
)
9999
(
10
9600
–
–
–
–
–
–
–
399
∴ Required number = 9999 – 399 = 9600
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