Given numbers are 431,214,260,413

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

The LCM of 431,214,260,413 is 4952043460.

Find LCM of 431,214,260,413 with Prime Factorization

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

2 x 431 x 107 x 130 x 413 = 4952043460

Therefore, the lowest common multiple of 431,214,260,413 is 4952043460.

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.

431 x 214 x 260 x 413 = 9904086920

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.

431 : 1, 431

214 : 1, 2, 107, 214

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,214,260,413, is 1.

Now, the common factors can be found like this.

431:431

214:2x 107

260:2x 2x 5x 13

413:7x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 9904086920/(1x2)

LCM = 9904086920/2

LCM = 4952043460

Thus, we can understand that the LCM of 431,214,260,413 is 4952043460.

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

• LCM of 537, 909, 586, 676
• LCM of 329, 907, 931, 128
• LCM of 792, 383, 774, 503
• LCM of 343, 274, 189, 776
• LCM of 767, 304, 661, 508

1. What is the LCM of 431, 214, 260, 413?

Answer: LCM of 431, 214, 260, 413 is 4952043460.

2. How to calculate the LCM of 431, 214, 260, 413?

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 431, 214, 260, 413.

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}.