Given numbers are 214,437,744,480,928

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

The LCM of 214,437,744,480,928 is 20177443680.

Find LCM of 214,437,744,480,928 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 107 x 437 x 31 x 5 x 29 = 20177443680

Therefore, the lowest common multiple of 214,437,744,480,928 is 20177443680.

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.

214 x 437 x 744 x 480 x 928 = 30992553492480

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.

214 : 1, 2, 107, 214

437 : 1, 19, 23, 437

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,437,744,480,928, is 1.

Now, the common factors can be found like this.

214:2x 107

437:19x 23

744:2x 2x 2x 3x 31

480:2x 2x 2x 2x 2x 3x 5

928:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 2x 3 = 1536

Therefore, the value for common factors is 1536.

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 = 30992553492480/(1x1536)

LCM = 30992553492480/1536

LCM = 20177443680

Thus, we can understand that the LCM of 214,437,744,480,928 is 20177443680.

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

• LCM of 468, 309, 618, 792, 934
• LCM of 965, 439, 495, 105, 611
• LCM of 221, 982, 369, 473, 689
• LCM of 661, 537, 539, 605, 367
• LCM of 875, 186, 224, 315, 281

1. What is the LCM of 214, 437, 744, 480, 928?

Answer: LCM of 214, 437, 744, 480, 928 is 20177443680.

2. How to calculate the LCM of 214, 437, 744, 480, 928?

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 214, 437, 744, 480, 928.

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}.