Given numbers are 826,130,167,428,430

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

The LCM of 826,130,167,428,430 is 82507248460.

Find LCM of 826,130,167,428,430 with Prime Factorization

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

2 x 5 x 413 x 13 x 167 x 214 x 43 = 82507248460

Therefore, the lowest common multiple of 826,130,167,428,430 is 82507248460.

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.

826 x 130 x 167 x 428 x 430 = 3300289938400

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

130 : 1, 2, 5, 10, 13, 26, 65, 130

167 : 1, 167

428 : 1, 2, 4, 107, 214, 428

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,130,167,428,430, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

130:2x 5x 13

167:167

428:2x 2x 107

430:2x 5x 43

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 5 = 40

Therefore, the value for common factors is 40.

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 = 3300289938400/(1x40)

LCM = 3300289938400/40

LCM = 82507248460

Thus, we can understand that the LCM of 826,130,167,428,430 is 82507248460.

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

• LCM of 147, 127, 169, 820, 528
• LCM of 377, 287, 890, 464, 512
• LCM of 485, 620, 243, 609, 161
• LCM of 772, 531, 704, 499, 630
• LCM of 370, 565, 314, 578, 488

1. What is the LCM of 826, 130, 167, 428, 430?

Answer: LCM of 826, 130, 167, 428, 430 is 82507248460.

2. How to calculate the LCM of 826, 130, 167, 428, 430?

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 826, 130, 167, 428, 430.

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}.