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LCM and HCF Practice Test 4
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Question : 16
Total: 40
A number, when 3 is added to it, becomes divisible by 36, 45 and 50. The smallest such number is
987
798
986
897
Validate
Solution:
It is clear from the given conditions of the problem that the smallest number will be 3 less than the LCM of 36, 45 and 50.
∴ LCM of 36, 45 and 50
∴ LCM = 3 × 2 × 3 × 5 × 2 × 5 = 900
∴ Required number = 900 – 3 = 897.
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