Given numbers are 130,242,307,828

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

The LCM of 130,242,307,828 is 1999251540.

Find LCM of 130,242,307,828 with Prime Factorization

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

2 x 65 x 121 x 307 x 414 = 1999251540

Therefore, the lowest common multiple of 130,242,307,828 is 1999251540.

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 242 x 307 x 828 = 7997006160

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

242 : 1, 2, 11, 22, 121, 242

307 : 1, 307

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,242,307,828, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

242:2x 11x 11

307:307

828:2x 2x 3x 3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 7997006160/(1x4)

LCM = 7997006160/4

LCM = 1999251540

Thus, we can understand that the LCM of 130,242,307,828 is 1999251540.

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

• LCM of 153, 832, 857, 498
• LCM of 337, 576, 945, 467
• LCM of 159, 745, 890, 448
• LCM of 355, 585, 529, 944
• LCM of 745, 140, 544, 995

1. What is the LCM of 130, 242, 307, 828?

Answer: LCM of 130, 242, 307, 828 is 1999251540.

2. How to calculate the LCM of 130, 242, 307, 828?

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, 242, 307, 828.

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}.