Given numbers are 634,414,680,224,102

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

The LCM of 634,414,680,224,102 is 1249385760.

Find LCM of 634,414,680,224,102 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 317 x 69 x 5 x 28 x 1 = 1249385760

Therefore, the lowest common multiple of 634,414,680,224,102 is 1249385760.

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.

634 x 414 x 680 x 224 x 102 = 4077995120640

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.

634 : 1, 2, 317, 634

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

102 : 1, 2, 3, 6, 17, 34, 51, 102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,414,680,224,102, is 2.

Now, the common factors can be found like this.

634:2x 317

414:2x 3x 3x 23

680:2x 2x 2x 5x 17

224:2x 2x 2x 2x 2x 7

102:2x 3x 17

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 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 4077995120640/(2x1632)

LCM = 4077995120640/3264

LCM = 1249385760

Thus, we can understand that the LCM of 634,414,680,224,102 is 1249385760.

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

• LCM of 712, 435, 553, 654, 366
• LCM of 192, 839, 498, 525, 762
• LCM of 242, 845, 266, 262, 732
• LCM of 599, 696, 323, 967, 977
• LCM of 959, 710, 355, 656, 253

1. What is the LCM of 634, 414, 680, 224, 102?

Answer: LCM of 634, 414, 680, 224, 102 is 1249385760.

2. How to calculate the LCM of 634, 414, 680, 224, 102?

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 634, 414, 680, 224, 102.

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}.