Given numbers are 726,960,107,807,440

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

The LCM of 726,960,107,807,440 is 3343433280.

Find LCM of 726,960,107,807,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 1 x 8 x 107 x 269 x 11 = 3343433280

Therefore, the lowest common multiple of 726,960,107,807,440 is 3343433280.

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.

726 x 960 x 107 x 807 x 440 = 26479991577600

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

107 : 1, 107

807 : 1, 3, 269, 807

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,960,107,807,440, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

960:2x 2x 2x 2x 2x 2x 3x 5

107:107

807:3x 269

440:2x 2x 2x 5x 11

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 2x 3x 3x 5x 11 = 7920

Therefore, the value for common factors is 7920.

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 = 26479991577600/(1x7920)

LCM = 26479991577600/7920

LCM = 3343433280

Thus, we can understand that the LCM of 726,960,107,807,440 is 3343433280.

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

• LCM of 769, 467, 201, 557, 131
• LCM of 497, 952, 876, 645, 970
• LCM of 872, 288, 436, 847, 429
• LCM of 353, 390, 335, 435, 542
• LCM of 961, 825, 646, 883, 466

1. What is the LCM of 726, 960, 107, 807, 440?

Answer: LCM of 726, 960, 107, 807, 440 is 3343433280.

2. How to calculate the LCM of 726, 960, 107, 807, 440?

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 726, 960, 107, 807, 440.

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}.