Find the LCM of 25, 45, 105.

Sure, here are the steps to find the LCM (Least Common Multiple) of 25, 45, and 105:

Step 1: Prime factorize the numbers.

• 25 = 5^2
• 45 = 3^2 * 5
• 105 = 3 * 5 * 7

Step 2: For each prime number, take the highest power of that prime number in the factorizations.

• For 5, the highest power is 2 (from 25).
• For 3, the highest power is 2 (from 45).
• For 7, the highest power is 1 (from 105).

Step 3: Multiply these highest powers together.

• LCM = 5^2 * 3^2 * 7 = 25 * 9 * 7 = 1575

So, the LCM of 25, 45, and 105 is 1575.

Sure, here are the steps to find the LCM (Least Common Multiple) of 25, 45, and 105:

Step 1: Prime factorize the numbers.

• 25 = 5^2
• 45 = 3^2 * 5
• 105 = 3 * 5 * 7

Step 2: For each prime number, take the highest power of that prime number which appears in the factorization of any of the given numbers.

• The prime factor 2 does not appear in any of the numbers.
• The prime factor 3 appears as 3^2 in 45 and as 3 in 105. So, we take 3^2.
• The prime factor 5 appears as 5^2 in 25, as 5 in 45, and as 5 in 105. So, we take 5^2.
• The prime factor 7 appears as 7 in 105. So, we take 7.

Step 3: Multiply the numbers obtained in step 2 to get the LCM.

So, LCM = 3^2 * 5^2 * 7 = 9 * 25 * 7 = 1575

Therefore, the LCM of 25, 45, and 105 is 1575.

Sure, here are the steps to find the LCM (Least Common Multiple) of 25, 45, and 105:

Step 1: Prime factorize the numbers.

• 25 = 5^2
• 45 = 3^2 * 5
• 105 =