Given numbers are 130,116,347,273,408

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

The LCM of 130,116,347,273,408 is 1868095320.

Find LCM of 130,116,347,273,408 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 29 x 347 x 7 x 34 = 1868095320

Therefore, the lowest common multiple of 130,116,347,273,408 is 1868095320.

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 116 x 347 x 273 x 408 = 582845739840

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

116 : 1, 2, 4, 29, 58, 116

347 : 1, 347

273 : 1, 3, 7, 13, 21, 39, 91, 273

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,116,347,273,408, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

116:2x 2x 29

347:347

273:3x 7x 13

408:2x 2x 2x 3x 17

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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 582845739840/(1x312)

LCM = 582845739840/312

LCM = 1868095320

Thus, we can understand that the LCM of 130,116,347,273,408 is 1868095320.

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

• LCM of 229, 762, 361, 507, 806
• LCM of 620, 974, 553, 818, 353
• LCM of 321, 846, 341, 856, 976
• LCM of 444, 841, 954, 220, 472
• LCM of 641, 429, 617, 529, 775

1. What is the LCM of 130, 116, 347, 273, 408?

Answer: LCM of 130, 116, 347, 273, 408 is 1868095320.

2. How to calculate the LCM of 130, 116, 347, 273, 408?

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, 116, 347, 273, 408.

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}.