Given numbers are 574,260,206,319

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

The LCM of 574,260,206,319 is 2451789340.

Find LCM of 574,260,206,319 with Prime Factorization

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

2 x 287 x 130 x 103 x 319 = 2451789340

Therefore, the lowest common multiple of 574,260,206,319 is 2451789340.

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.

574 x 260 x 206 x 319 = 9807157360

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

206 : 1, 2, 103, 206

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,260,206,319, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

260:2x 2x 5x 13

206:2x 103

319:11x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9807157360/(1x4)

LCM = 9807157360/4

LCM = 2451789340

Thus, we can understand that the LCM of 574,260,206,319 is 2451789340.

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

• LCM of 273, 686, 426, 826
• LCM of 462, 763, 453, 841
• LCM of 270, 607, 722, 393
• LCM of 520, 275, 846, 681
• LCM of 671, 162, 530, 729

1. What is the LCM of 574, 260, 206, 319?

Answer: LCM of 574, 260, 206, 319 is 2451789340.

2. How to calculate the LCM of 574, 260, 206, 319?

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 574, 260, 206, 319.

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}.