LCM of 25, 50 and 75 by prime factorisation
Answers
may be the pic is blur but the answer is correct
Answer:
2x3x5x5 LCM=150
Step-by-step explanation:
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 25, 50 and 75:
Prime factors of 25
The prime factors of 25 are 5 and 5. Prime factorization of 25 in exponential form is:
25 = 52
Prime factors of 50
The prime factors of 50 are 2, 5 and 5. Prime factorization of 50 in exponential form is:
50 = 21x52
Prime factors of 75
The prime factors of 75 are 3, 5 and 5. Prime factorization of 75 in exponential form is:
75 = 31x52
Step 2: Identify the highest power of each prime number from the above boxes:
52, 21, 31
Step 3: Multiply these values together:
52x21x31=150
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 25, 50 and 75.
The Least Common Multiple of 25, 50 and 75 is 150.
Method 2 - List of Multiples
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 25:
25, 50, 75, 100, 125, 150, 175, 200, 225
Multiples of 50:
50, 100, 150, 200, 250, 300
Multiples of 75:
75, 150, 225, 300, 375
Therefore,
LCM(25, 50, 75) = 150