LCM of 65,30
To find the LCM (Least Common Multiple) of 65 and 30, we need to factorize the numbers into their prime factors.
First, let's factorize 65:
65 can be written as 5 * 13.
Now, let's factorize 30:
30 can be written as 2 * 3 * 5.
To find the LCM, we need to take the highest power of each prime factor that appears in either number.
So, the LCM of 65 and 30 is:
2 * 3 * 5 * 13 = 390
Therefore, the LCM of 65 and 30 is 390.
To find the least common multiple (LCM) of 65 and 30, we can follow these steps:
Step 1: Find the prime factorization of each number:
For 65:
65 = 13 × 5
For 30:
30 = 2 × 3 × 5
Step 2: Write down all the prime factors of both numbers, but include each factor the greatest number of times it appears in either number:
Prime factors of 65: 13, 5
Prime factors of 30: 2, 3, 5
Step 3: Multiply all the prime factors obtained in Step 2:
2 × 3 × 5 × 13 = 390
The LCM of 65 and 30 is 390.
To find the Least Common Multiple (LCM) of two numbers, such as 65 and 30, you can follow these steps:
Step 1: Find the prime factorizations of the given numbers.
- Prime factorization of 65: 65 = 5 * 13
- Prime factorization of 30: 30 = 2 * 3 * 5
Step 2: Identify the greatest power of each prime number that appears in either factorization.
- 5 appears once in the prime factorization of 65.
- 2 appears zero times in the prime factorization of 65, so we ignore it.
- 3 appears zero times in the prime factorization of 65, so we ignore it.
- 13 appears once in the prime factorization of 65.
- 2 appears once in the prime factorization of 30.
- 3 appears once in the prime factorization of 30.
- 5 appears once in the prime factorization of 30.
Step 3: Multiply the primes raised to their greatest power.
- 5^1 * 2^1 * 3^1 * 13^1 = 130 * 3 * 13 = 1690
So, the LCM of 65 and 30 is 1690.