Given numbers are 272,705,347,914

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

The LCM of 272,705,347,914 is 30409109040.

Find LCM of 272,705,347,914 with Prime Factorization

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

2 x 136 x 705 x 347 x 457 = 30409109040

Therefore, the lowest common multiple of 272,705,347,914 is 30409109040.

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.

272 x 705 x 347 x 914 = 60818218080

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

705 : 1, 3, 5, 15, 47, 141, 235, 705

347 : 1, 347

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,705,347,914, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

705:3x 5x 47

347:347

914:2x 457

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

2 = 2

Therefore, the value for common factors is 2.

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 = 60818218080/(1x2)

LCM = 60818218080/2

LCM = 30409109040

Thus, we can understand that the LCM of 272,705,347,914 is 30409109040.

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

• LCM of 965, 874, 654, 214
• LCM of 314, 255, 140, 173
• LCM of 755, 225, 832, 829
• LCM of 404, 724, 690, 750
• LCM of 994, 645, 587, 160

1. What is the LCM of 272, 705, 347, 914?

Answer: LCM of 272, 705, 347, 914 is 30409109040.

2. How to calculate the LCM of 272, 705, 347, 914?

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 272, 705, 347, 914.

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}.