The least number of five digits which is exactly divisible by 12, 15 and 18, is:
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1
10010
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2
10051
-
3
10020
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4
10080
Least number of 5 digits is 10,000 L.C.M. of 12, 15 and 18 is 180.
On dividing 10000 by 180, the remainder is 100.
∴ Required number
= 10000 + (180 – 100) = 10080.
More Questions From LCM and HCF
The question The least number of five digits which is exactly divisible by 12, 15 and 18, is: belongs to LCM and HCF. It is one of the important questions that are asked in different competitive exams. The detailed solution for this question is:
Least number of 5 digits is 10,000 L.C.M. of 12, 15 and 18 is 180.
On dividing 10000 by 180, the remainder is 100.
∴ Required number
= 10000 + (180 – 100) = 10080.
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Find the greatest number which when subtracted from 3000 is exactly divisible by 7, 11, 13.
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The LCM of two numbers is 280 and their ratio is 7 : 8. The two numbers are :
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Find the greatest number that will divide 148, 246 and 623 leaving remainders 4, 6 and 11 respectively.
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Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
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The L.C.M. of two number is 630 and their H.C.F. is 9. If the sum of numbers is 153, their difference is
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The circumferences of the fore and hind-wheels of a carriage are 2⅖ and 3³⁄₇ respectively. A chalk mark is put on the point of contact of each wheel with the ground at any given moment. How far will the carriage have travelled so that its chalk marks may be again on the ground at the same time?
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The least number of five digits which is exactly divisible by 12, 15 and 18, is:
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HCF of 3240, 3600 and a third number is 36 and their LCM is 2⁴ × 3⁵ × 5² × 7². The third number is :
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Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12 and 16 will leave the same remainder 4?
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