Given numbers are 130,381,209,969

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

The LCM of 130,381,209,969 is 175980090.

Find LCM of 130,381,209,969 with Prime Factorization

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

3 x 19 x 130 x 127 x 11 x 17 = 175980090

Therefore, the lowest common multiple of 130,381,209,969 is 175980090.

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 381 x 209 x 969 = 10030865130

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

381 : 1, 3, 127, 381

209 : 1, 11, 19, 209

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,381,209,969, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

381:3x 127

209:11x 19

969:3x 17x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 10030865130/(1x57)

LCM = 10030865130/57

LCM = 175980090

Thus, we can understand that the LCM of 130,381,209,969 is 175980090.

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

• LCM of 280, 495, 205, 657
• LCM of 760, 681, 417, 309
• LCM of 164, 539, 567, 925
• LCM of 420, 155, 547, 639
• LCM of 263, 625, 672, 818

1. What is the LCM of 130, 381, 209, 969?

Answer: LCM of 130, 381, 209, 969 is 175980090.

2. How to calculate the LCM of 130, 381, 209, 969?

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, 381, 209, 969.

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}.