Answer :
Final answer:
a. 504, 44, 108 - 2772
b. 25, 8 - 200
c. 27, 12, 36 - 108
d. 22, 4 - 44
e. 32, 24, 18 - 72
f. 9, 8, 7 - 504
Explanation:
The least common multiple (LCM) of a set of numbers is the smallest multiple that is exactly divisible by each number in the set. To find the LCM of each set of numbers:
a. For the set {504, 44, 108}, the LCM is calculated as follows: LCM(504,44,108) = LCM(LCM(504,44),108) = LCM(2772,108) = 2772
b. For the set {25,8}, the LCM is calculated as follows: LCM(25,8) = 200
c. For the set {27,12,36}, the LCM is calculated as follows: LCM(27,12,36) = LCM(LCM(27,12),36) = LCM(324,36) = 108
d. For the set {22,4}, the LCM is calculated as follows: LCM(22,4) = 44
e. For the set {32,24,18}, the LCM is calculated as follows: LCM(32,24,18) = LCM(LCM(32,24),18) = LCM(96,18) = 72
f. For the set {9,8,7}, the LCM is calculated as follows: LCM(9,8,7) = LCM(LCM(9,8),7) = LCM(72,7) = 504
In summary, the least common multiples for each set of numbers are as listed above.
