The GCD of 3 numbers is 30 and their LCM is 900.Two of the numbers are 60 and 150 what is the other possible number
The GCD of the three numbers is 30 and two of the numbers are 60 and 150. Since the GCD of 60 and 150 is 30, we can calculate the GCD of all three numbers by dividing the product of the two given numbers by the GCD of the two given numbers:
GCD(60, 150) = 30
Product of two given numbers = 60 x 150 = 9000
GCD of three numbers = 9000 / 30 = 300
Since the LCM of the three numbers is 900, we can find the third number by dividing the LCM by the product of the two given numbers:
LCM(60, 150, x) = 900
900 = 60 x 150 x x / 30
900 = 9000x / 30
30 = 9000x / 900
30 = 10x
x = 3
Therefore, the third possible number is 3.