Given numbers are 586,720,742,919

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

The LCM of 586,720,742,919 is 71926601040.

Find LCM of 586,720,742,919 with Prime Factorization

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

2 x 293 x 360 x 371 x 919 = 71926601040

Therefore, the lowest common multiple of 586,720,742,919 is 71926601040.

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.

586 x 720 x 742 x 919 = 287706404160

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.

586 : 1, 2, 293, 586

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

742 : 1, 2, 7, 14, 53, 106, 371, 742

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,720,742,919, is 1.

Now, the common factors can be found like this.

586:2x 293

720:2x 2x 2x 2x 3x 3x 5

742:2x 7x 53

919:919

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 = 287706404160/(1x4)

LCM = 287706404160/4

LCM = 71926601040

Thus, we can understand that the LCM of 586,720,742,919 is 71926601040.

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

• LCM of 971, 813, 846, 507
• LCM of 294, 120, 874, 441
• LCM of 709, 648, 832, 775
• LCM of 172, 688, 170, 406
• LCM of 224, 191, 972, 447

1. What is the LCM of 586, 720, 742, 919?

Answer: LCM of 586, 720, 742, 919 is 71926601040.

2. How to calculate the LCM of 586, 720, 742, 919?

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 586, 720, 742, 919.

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}.