Given numbers are 130,312,409,194

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

The LCM of 130,312,409,194 is 61889880.

Find LCM of 130,312,409,194 with Prime Factorization

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

2 x 13 x 5 x 12 x 409 x 97 = 61889880

Therefore, the lowest common multiple of 130,312,409,194 is 61889880.

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 312 x 409 x 194 = 3218273760

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

409 : 1, 409

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,312,409,194, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

312:2x 2x 2x 3x 13

409:409

194:2x 97

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 13 = 52

Therefore, the value for common factors is 52.

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 = 3218273760/(1x52)

LCM = 3218273760/52

LCM = 61889880

Thus, we can understand that the LCM of 130,312,409,194 is 61889880.

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

• LCM of 327, 769, 335, 652
• LCM of 260, 880, 775, 896
• LCM of 736, 452, 600, 627
• LCM of 357, 750, 215, 108
• LCM of 560, 709, 610, 545

1. What is the LCM of 130, 312, 409, 194?

Answer: LCM of 130, 312, 409, 194 is 61889880.

2. How to calculate the LCM of 130, 312, 409, 194?

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, 312, 409, 194.

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}.