Given numbers are 130,523,541,460

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

The LCM of 130,523,541,460 is 1691999140.

Find LCM of 130,523,541,460 with Prime Factorization

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

2 x 5 x 13 x 523 x 541 x 46 = 1691999140

Therefore, the lowest common multiple of 130,523,541,460 is 1691999140.

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.

130 x 523 x 541 x 460 = 16919991400

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.

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

523 : 1, 523

541 : 1, 541

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,523,541,460, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

523:523

541:541

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 16919991400/(1x10)

LCM = 16919991400/10

LCM = 1691999140

Thus, we can understand that the LCM of 130,523,541,460 is 1691999140.

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

• LCM of 436, 676, 995, 546
• LCM of 855, 723, 810, 439
• LCM of 218, 831, 185, 780
• LCM of 140, 338, 290, 783
• LCM of 240, 551, 739, 114

1. What is the LCM of 130, 523, 541, 460?

Answer: LCM of 130, 523, 541, 460 is 1691999140.

2. How to calculate the LCM of 130, 523, 541, 460?

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 130, 523, 541, 460.

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}.