Answer:
HCF = 15
LCM = 6300.
Explanation:
Write them out as a product of their prime factors:
180 = 2*2*3*3*5
150 = 2*3*5*5
315 = 3*3*5*7
Picking out the factors common to all 3 list of prime factors:
The GCF = 3*5 = 15.
To find the LCM we pick out all the numbers except if there are repeated number we only use them once, So for example we only take 2*2 for the calculation as there is a pair of 2's in 180 and 150 factors and there is an extra 2 in 180 - so we only take 2 of the 3 2's.
LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7
= 6300.