what is the lcm of 9,7,2
Multiply: 9 * 7 * 2 = ?
Ms. Sue is correct. The lowest common multiple is 9x7x2 = 126 in this case, because the three numbers do not have any prime factors in common.
To find the least common multiple (LCM) of three numbers, you can follow these steps:
1. Start by listing the prime factorization of each number.
- The prime factorization of 9 is 3 x 3.
- The prime factorization of 7 is 7.
- The prime factorization of 2 is 2.
2. Identify the highest power of each prime factor that appears in any of the numbers.
- The highest power of 3 that appears is 3 x 3 (9).
- The highest power of 7 that appears is 7.
- The highest power of 2 that appears is 2.
3. Multiply the highest powers of all the prime factors to find the LCM.
- LCM = 3 x 3 x 7 x 2 = 126
Therefore, the LCM of 9, 7, and 2 is 126.