Answer:
The LCM of 150 and 225 is 450.
Steps to find LCM
Find the prime factorization of 150
150 = 2 × 3 × 5 × 5
Find the prime factorization of 225
225 = 3 × 3 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 5 × 5
LCM = 450
Look at the methods to find the HCF (150, 225)
HCF of 150 and 225 by Prime Factorization
HCF of 150 and 225 by Listing the Common Factors
Method 1: Find HCF of 150 and 225 by Prime Factorization
Represent 8 and 14 as a product of its prime factors.
Prime factorization of 150 is 2 × 3 × 5 × 5
Prime factorization of 225 is 3 × 3 × 5 × 5
The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.
HCF is the product of the factors that are common to each of the given numbers.
So, HCF of 150 and 225 is 3 × 5 × 5 = 75
Method 2: Find HCF of 150 and 225 by Listing the Common Factors
The factors of 150 and 225 are shown below.
Step-by-step explanation:
Hope it is helpful.....
