Find the lowest common multiple of the following
4=2squared
10=2x5
12=2 squared time 3=
To find the lowest common multiple (LCM) of the numbers 4, 10, and 12, we can use their prime factorizations:
4 = 2^2
10 = 2 x 5
12 = 2^2 x 3
Next, to find the LCM, we take the highest power of each prime factor that appears in the factorization of any of the numbers:
- For the prime factor 2, the highest power in any of the factorizations is 2^2 (which appears in both 4 and 12).
- For the prime factor 3, the highest power is 3^1 (which appears in the factorization of 12).
- For the prime factor 5, the highest power is 5^1 (which appears in the factorization of 10).
Now, we multiply these highest powers together:
LCM = 2^2 x 3^1 x 5^1
LCM = 4 x 3 x 5
LCM = 12 x 5
LCM = 60
Thus, the lowest common multiple of 4, 10, and 12 is 60.