Given numbers are 232,287,707,214

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

The LCM of 232,287,707,214 is 719573288.

Find LCM of 232,287,707,214 with Prime Factorization

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

2 x 7 x 116 x 41 x 101 x 107 = 719573288

Therefore, the lowest common multiple of 232,287,707,214 is 719573288.

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.

232 x 287 x 707 x 214 = 10074026032

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

287 : 1, 7, 41, 287

707 : 1, 7, 101, 707

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,287,707,214, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

287:7x 41

707:7x 101

214:2x 107

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 10074026032/(1x14)

LCM = 10074026032/14

LCM = 719573288

Thus, we can understand that the LCM of 232,287,707,214 is 719573288.

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

• LCM of 396, 349, 787, 705
• LCM of 991, 777, 108, 585
• LCM of 538, 761, 166, 687
• LCM of 478, 325, 934, 585
• LCM of 943, 767, 378, 477

1. What is the LCM of 232, 287, 707, 214?

Answer: LCM of 232, 287, 707, 214 is 719573288.

2. How to calculate the LCM of 232, 287, 707, 214?

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 232, 287, 707, 214.

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}.