Given numbers are 414,589,258

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 414,589,258 is 10485378.

Find LCM of 414,589,258 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 69 x 589 x 43 = 10485378

Therefore, the lowest common multiple of 414,589,258 is 10485378.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

414 x 589 x 258 = 62912268

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

589 : 1, 19, 31, 589

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,589,258, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

589:19x 31

258:2x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 62912268/(1x6)

LCM = 62912268/6

LCM = 10485378

Thus, we can understand that the LCM of 414,589,258 is 10485378.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 661, 703, 820
• LCM of 429, 898, 952
• LCM of 523, 232, 790
• LCM of 893, 231, 242
• LCM of 800, 533, 994

1. What is the LCM of 414, 589, 258?

Answer: LCM of 414, 589, 258 is 10485378.

2. How to calculate the LCM of 414, 589, 258?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 414, 589, 258.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.