Given numbers are 130,59,177,413

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

The LCM of 130,59,177,413 is 161070.

Find LCM of 130,59,177,413 with Prime Factorization

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

59 x 130 x 1 x 3 x 7 = 161070

Therefore, the lowest common multiple of 130,59,177,413 is 161070.

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 59 x 177 x 413 = 560684670

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

59 : 1, 59

177 : 1, 3, 59, 177

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,59,177,413, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

59:59

177:3x 59

413:7x 59

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

59x 59 = 3481

Therefore, the value for common factors is 3481.

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 = 560684670/(1x3481)

LCM = 560684670/3481

LCM = 161070

Thus, we can understand that the LCM of 130,59,177,413 is 161070.

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

• LCM of 706, 23, 738, 886
• LCM of 197, 81, 673, 294
• LCM of 682, 65, 793, 175
• LCM of 708, 68, 926, 166
• LCM of 497, 86, 628, 410

1. What is the LCM of 130, 59, 177, 413?

Answer: LCM of 130, 59, 177, 413 is 161070.

2. How to calculate the LCM of 130, 59, 177, 413?

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, 59, 177, 413.

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}.