Given numbers are 432,226,838,310,627

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

The LCM of 432,226,838,310,627 is 662604220080.

Find LCM of 432,226,838,310,627 with Prime Factorization

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

2 x 3 x 72 x 113 x 419 x 155 x 209 = 662604220080

Therefore, the lowest common multiple of 432,226,838,310,627 is 662604220080.

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.

432 x 226 x 838 x 310 x 627 = 15902501281920

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

226 : 1, 2, 113, 226

838 : 1, 2, 419, 838

310 : 1, 2, 5, 10, 31, 62, 155, 310

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,226,838,310,627, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

226:2x 113

838:2x 419

310:2x 5x 31

627:3x 11x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 15902501281920/(1x24)

LCM = 15902501281920/24

LCM = 662604220080

Thus, we can understand that the LCM of 432,226,838,310,627 is 662604220080.

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

• LCM of 574, 821, 895, 898, 728
• LCM of 140, 107, 503, 600, 844
• LCM of 408, 198, 273, 682, 105
• LCM of 429, 543, 226, 511, 312
• LCM of 695, 775, 642, 380, 420

1. What is the LCM of 432, 226, 838, 310, 627?

Answer: LCM of 432, 226, 838, 310, 627 is 662604220080.

2. How to calculate the LCM of 432, 226, 838, 310, 627?

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 432, 226, 838, 310, 627.

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}.