Sunday, April 7, 2024

2024/025)What is the third number if the two numbers are 48 and 60? The L.C.M is 1680, and the GCD is 12 of all the numbers.

 LCM of 48 and 60 (that is 12 * 4 and 12 *5) = 240

Now LCM 1680 = 240 * 7

So 3rd number should have a factor 7 and it should be multiple of 12(else GCD cannot be be 12) and can have other that is 3rd factor that is a factor of 240/12 or 20 it could be 1,2,4,5,10,20. as GCD of 48 and 60 is 12 so taking a higher multiple shall not change GCD

So 3rd number could be 84/168/324/420/840/1680 that is any of these 6 numbers

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