Magical Mathematics[Interesting Approach]> General Mathematics...

1 ) The greatest number of 6 digits exactly divisible by 24, 15 and 36 is.

Nithin Kanagu , 13 Years ago

Grade 12

3 Answers

sanatan sharma

Last Activity: 13 Years ago

its 997,920.

Aman Bansal

Last Activity: 13 Years ago

Dear Nithin,

First of all we will find the LCM of 24,15 and 36,

We will find out the LCM of 24,15 and 36 is 360.

Now, Greatest 6-digit number is 999999.

Now, We will divide this number by LCM, we will get,

999999/360=2777.775

Now we will multiply 2777 by LCM i.e. 360, we will get,

999720.

Now we will check it out for the numbers we will get,

999720/24=41655

999720/15=66648

999720/36=27770

Therefore It is confirmed that 999720 is the greatest number 6-digit number divisible by 24,15 and 36.

Best Of luck

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Thanks

Aman Bansal

Askiitian Expert

Shivam

Last Activity: 8 Years ago

First take LCM of 24, 15, 36LCM of these no is 360The greatest 6 digit number is 999999Divide 999999 by 360 - 2777.775Now multiply 2777 by 360 - 999720Now try to divide 999720/24 - 41655Another number is 999720/15 - 66648And also divide number 999720/36 - 27770So it is confirm that greatest 6 digit number 999720 is divisible by 24, 15, 36,