Given numbers are 107,468,715,302,257

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

The LCM of 107,468,715,302,257 is 106881463260.

Find LCM of 107,468,715,302,257 with Prime Factorization

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

2 x 13 x 107 x 18 x 55 x 151 x 257 = 106881463260

Therefore, the lowest common multiple of 107,468,715,302,257 is 106881463260.

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.

107 x 468 x 715 x 302 x 257 = 2778918044760

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.

107 : 1, 107

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

715 : 1, 5, 11, 13, 55, 65, 143, 715

302 : 1, 2, 151, 302

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,468,715,302,257, is 1.

Now, the common factors can be found like this.

107:107

468:2x 2x 3x 3x 13

715:5x 11x 13

302:2x 151

257:257

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 2778918044760/(1x26)

LCM = 2778918044760/26

LCM = 106881463260

Thus, we can understand that the LCM of 107,468,715,302,257 is 106881463260.

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

• LCM of 134, 177, 587, 123, 438
• LCM of 179, 773, 717, 627, 790
• LCM of 974, 382, 134, 358, 870
• LCM of 867, 180, 114, 569, 799
• LCM of 966, 135, 344, 451, 694

1. What is the LCM of 107, 468, 715, 302, 257?

Answer: LCM of 107, 468, 715, 302, 257 is 106881463260.

2. How to calculate the LCM of 107, 468, 715, 302, 257?

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 107, 468, 715, 302, 257.

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}.