

View Answer
There are two methods for it.
Method 1.
Resolve the given numbers into their prime factors and then find the product of the highest power of all the factors that occur in the given numbers. This product will be the LCM.
18 = 2 x 3 x 3 = 2 x 3^{2}
24 = 2 x 2 x 2 x 3 = 2^{3} x 3
60 = 2 x 2 x 3 x 5 = 2^{2} x 3 x 5
150 = 2 x 3 x 5 x 5 = 2 x 3 x 5^{2}
Hence, the required LCM = 2^{3} x 3^{2} x 5^{2} = 1800
Method 2:
2
 18, 24, 60,150

3 
9, 12, 30, 75 
5 
3, 4, 10, 25 
3 
3, 4, 2, 5 
2 
1, 4, 2, 5 
2 
1, 2, 1, 5 
5 
1, 1, 1, 5 

1, 1, 1, 1 
LCM = 2 x 3 x 5 x 3 x 2 x 2 x 5 = 1800

