Answer:
a) LCM of 12, 10 , 5 = LCM of 10, 20, 30
Step-by-step explanation:
The given set of numbers are 12, 10 and 5.
On prime factorization of the given numbers:
12 = 2 x 2 x 3
10 = 2 x 5
5 = 5 x 1
So, the LCM of the given set of number is 2 x 2 x 3 x 5 = 60
Now, find the LCM of each given set in the options.
a. 10, 20, 30
Here, 10 = 2 x 5 , 20 = 2 x 2 x 5 , 30 = 2 x 3 x 5
So, the LCM of the given set of number is 2 x 2 x 3 x 5 = 60
b. 8, 10, 12
Here, 8 = 2 x 2 x 2 , 10 = 2 x 5 , 12 = 2 x 2 x 3
So, the LCM of the given set of number is 2 x 2 x 2 x 3 x 5 = 120
c. 5, 15, 45
Here, 5 = 5 x 1 , 15 = 3 x 5 x 1 , 45 = 3 x 3 x 5 x 1
So, the LCM of the given set of number is 3 x 3 x 5 = 45
d. 3, 6, 9
Here, 3 = 3 x 1 , 6 = 2 x 3 x 1 , 9 = 3 x 3
So, the LCM of the given set of number is 2 x 3 x 3 = 18
a) Hence, here the LCM of 12, 10 and 5 = LCM of 10, 20 and 30 = 60
