M4maths Previous Puzzles

11 Apr 2017 Divisibility

What is the largest 5 digit number which is divisible by 18, 26 and 35?

OPtion

1) 99918
2) 99450
3) 99900
4) 98280
5) 98820
6) 98918
7) 98260
8) 98200
9) 98180
10) None of these

Solution

Answer: 98280
LCM of 18, 26, 35 = 8190

99999 ÷ 8190 = 12, remainder = 1719
Hence, greatest number of 5 digits which is divisible by 18, 26 and 35
= 99999 - 1719 = 98280
Or we can also get the answer by simply = 8190*12 = 98280

Option 4)

Correct Option: 4 Best Solution (9)

SAYAN CHATTERJEE   7 years AGO

The LCM of the numbers is 8190, and the 12th multiple of 8190 is 98280, so it is the highest 5 digit no. divisible by the 3 nos. given.

--option (4.)

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Devendra Marghade   7 years AGO

LCM of 18, 26 & 35 is 8190
Largest 5 digit number is 8190 x 12=98280
Option 4)

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Lenin   7 years AGO

LCM of 18, 26 and 35 is 8190

largest 5 digit number is 99999.

99999 / 8190 = 12.21

so the largest 5 digit number which is divisible by 8190 (18, 26 & 35) is 98280.
option 4.

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suraj shukla   7 years AGO

Lcm of 18,26, 35 is 1890
so the largest 5 digit number which is divisible by 1890 is 98280..
so option 4

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Azim Uddin Siddiqui   7 years AGO

smallest 6 digit no is 100000. L.C.M. of 18,26,35 is 8190.
100000/8190=12.2;
so 8190*12= 98280 is the largest 5 digit no. divisible by 18,26 & 35

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Nethsara Sandeepa Elvitigala   7 years AGO

The least common multiple of 18,26,35 is 8190.98280/8190 is 12 it means 98280 is divisable by 8190 and theres not another room for multiples of8190 in 5digit numbers so answer is 98280

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sirisha   7 years AGO

by option verification.
check each and every option whether they are divisible by the three given numbers.
so,by option verification we get the 4(982280) as correct answer.

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ganesh chemanchula   7 years AGO

18*26*35=16380..out of the options only 98280 is perfectly divisible by this.. so answer is 4

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HARMEET KAUR   7 years AGO

LCM of 18,26 & 35 is 8190.
Divide 99999 by 8190.
we shall get remainder as 1719.
Subtract 1719 from 99999 to get 98280 which is largest 5 digit number divisible by 18,26 & 35.

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