Given numbers are 900,426,926,706,399

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

The LCM of 900,426,926,706,399 is 1389019029300.

Find LCM of 900,426,926,706,399 with Prime Factorization

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

2 x 3 x 150 x 71 x 463 x 353 x 133 = 1389019029300

Therefore, the lowest common multiple of 900,426,926,706,399 is 1389019029300.

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.

900 x 426 x 926 x 706 x 399 = 100009370109600

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

426 : 1, 2, 3, 6, 71, 142, 213, 426

926 : 1, 2, 463, 926

706 : 1, 2, 353, 706

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,426,926,706,399, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

426:2x 3x 71

926:2x 463

706:2x 353

399:3x 7x 19

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

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 100009370109600/(1x72)

LCM = 100009370109600/72

LCM = 1389019029300

Thus, we can understand that the LCM of 900,426,926,706,399 is 1389019029300.

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

• LCM of 109, 120, 448, 709, 560
• LCM of 241, 594, 590, 716, 788
• LCM of 160, 515, 953, 828, 195
• LCM of 894, 794, 747, 859, 178
• LCM of 813, 449, 806, 550, 560

1. What is the LCM of 900, 426, 926, 706, 399?

Answer: LCM of 900, 426, 926, 706, 399 is 1389019029300.

2. How to calculate the LCM of 900, 426, 926, 706, 399?

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 900, 426, 926, 706, 399.

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}.