To find the least common multiple (LCM) of 18, 30, and 12, we first need to find the prime factorization of each number.
18 = 2 * 3^2 30 = 2 * 3 * 5 12 = 2^2 * 3
Next, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^2 * 5 = 180.
Therefore, the least common multiple of 18, 30, and 12 is 180.
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The least common multiple of 12, 18, and 30 is 180.
First break the number down into their prime factors:
12 = 22 x 3
18 = 2 x 32
30 = 2 x 3 x 5
To find the LCM (lowest common multiple) multiply all the prime factors in the lists together. However, primes occurring in moire than one list only have to be counted once.
So 2 x 2 x 3 x 3 x 5 = 180
180.
If you do a division ladder,
2 goes into 18 9x,
2 goes into 30 15x,
2 goes into 6 3x.
Then you have 9, 15, and 6.
3 goes into 9 3x,
3 goes into 15 5x,
3 goes into 6 2x.
You are left with 3, 5, and 2. No # goes into these three equally,
so you are done. The divisors, 2 and 3, when multiplied together
make 6. 6x3=18 18x5=90 90x2=180.
The Least Common Multiple (LCM) for 7 8 9 12 18 is 504.
36
36
The Least Common Multiple (LCM) of 18, 10, and 12 is 180.
The Least Common Multiple (LCM) of 12, 25, and 18 is 900.