What is the LCM of 210 and 54 using prime factorization?

Answer 1

To find the Least Common Multiple (LCM) of 210 and 54 using prime factorization, we first need to factorize both numbers.

210 = 2 x 3 x 5 x 7 and 54 = 2 x 3 x 3 x 3.

Then, we identify the common prime factors and the highest power of each factor. The common factors are 2 and 3, with the highest power of 2 being 1 and the highest power of 3 being 3.

Multiplying these common factors with their highest powers gives us the LCM: LCM(210, 54) = 2 x 3^3 = 54.

Answer 2

Oh, dude, prime factorization? You're really taking me back to math class. So, like, the prime factorization of 210 is 2 * 3 * 5 * 7, and the prime factorization of 54 is 2 * 3^3. To find the LCM, you just take the highest power of each prime factor that appears in either number, so it's 2 * 3^3 * 5 * 7, which equals 1,890. Math, man, it's wild.

Answer 3

Oh, isn't that a happy little question! To find the LCM using prime factorization, we first break down 210 and 54 into their prime factors. 210 = 2 * 3 * 5 * 7 and 54 = 2 * 3^3. Then, we take the highest power of each prime factor that appears in either number, so the LCM of 210 and 54 is 2 * 3^3 * 5 * 7 = 3780.

Answer 4

2 x 3 x 3 x 3 = 54

2 x 3 x 5 x 7 = 210

2 x 3 x 3 x 3 x 5 x 7 = 1890, the LCM

Answer 5

It is: 1890 because the highest prime factors are 2, 33, 5 and 7 which when multiplied together equals 1890

Answer 6

1890