Given numbers are 432,918,873,402,426

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

The LCM of 432,918,873,402,426 is 3388734576.

Find LCM of 432,918,873,402,426 with Prime Factorization

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

2 x 3 x 3 x 3 x 8 x 17 x 97 x 67 x 71 = 3388734576

Therefore, the lowest common multiple of 432,918,873,402,426 is 3388734576.

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 918 x 873 x 402 x 426 = 59289300141696

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

873 : 1, 3, 9, 97, 291, 873

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,918,873,402,426, is 3.

Now, the common factors can be found like this.

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

918:2x 3x 3x 3x 17

873:3x 3x 97

402:2x 3x 67

426:2x 3x 71

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 3x 3x 3x 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 59289300141696/(3x5832)

LCM = 59289300141696/17496

LCM = 3388734576

Thus, we can understand that the LCM of 432,918,873,402,426 is 3388734576.

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

• LCM of 539, 594, 111, 985, 870
• LCM of 666, 784, 390, 315, 753
• LCM of 283, 865, 336, 699, 108
• LCM of 243, 131, 201, 656, 320
• LCM of 743, 486, 145, 860, 868

1. What is the LCM of 432, 918, 873, 402, 426?

Answer: LCM of 432, 918, 873, 402, 426 is 3388734576.

2. How to calculate the LCM of 432, 918, 873, 402, 426?

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, 918, 873, 402, 426.

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}.