H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 24 X 35 X 52 X 72. The third number is :

Options
- 22 X 35 X 72
- 22 X 53 X 72
- 25 X 52 X 72
- 23 X 35 X 72

CORRECT ANSWER : 22 X 35 X 72

Discussion Board
answer breakup

3240 = 2^3 * 3^4 * 5
3600 = 2^4 * 3^2 * 5^2
HCF = 36 = 2^2 * 3^2
H.C.F must be the common factor for all 3 numbers, thus 3rd number must also have 2^2 * 3^2 as its factor.
L.C.M of first two numbers leads to 2^4 * 3^4 * 5^2
thus 3rd number must have 3^5 * 7^2 as its factor for Total LCM to be 2^4 * 3^5 * 5^2 * 7^2
Hence the 3rd number is 2^2 * 3^5 * 7^2 [option A]

Vinay 02-9-2021 05:51 AM

Wrong option

Please type options correctly...
here the options are like this.....
2^2*3^5*7^2

Richa bhardwaj 02-26-2019 10:44 AM

Ans is correct

22 here is 2 raised to the power 2 ,3^5 and 7^2
Answer is correct.

Mohini 08-16-2018 10:02 PM

wrong

the answer is wrong i guess

Ashwarya Priyam 08-3-2018 09:56 AM

plz slove it i have no idea .

plz slove it i hav no idea .


suraj kumar shah 02-4-2018 11:48 AM

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