Given numbers are 238,914,460,107,616

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

The LCM of 238,914,460,107,616 is 58888087720.

Find LCM of 238,914,460,107,616 with Prime Factorization

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

2 x 2 x 7 x 17 x 457 x 115 x 107 x 22 = 58888087720

Therefore, the lowest common multiple of 238,914,460,107,616 is 58888087720.

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.

238 x 914 x 460 x 107 x 616 = 6595465824640

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

914 : 1, 2, 457, 914

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

107 : 1, 107

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,914,460,107,616, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

914:2x 457

460:2x 2x 5x 23

107:107

616:2x 2x 2x 7x 11

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 6595465824640/(1x112)

LCM = 6595465824640/112

LCM = 58888087720

Thus, we can understand that the LCM of 238,914,460,107,616 is 58888087720.

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

• LCM of 337, 494, 300, 228, 418
• LCM of 308, 374, 194, 558, 474
• LCM of 465, 359, 583, 160, 215
• LCM of 375, 679, 266, 288, 713
• LCM of 373, 909, 300, 349, 108

1. What is the LCM of 238, 914, 460, 107, 616?

Answer: LCM of 238, 914, 460, 107, 616 is 58888087720.

2. How to calculate the LCM of 238, 914, 460, 107, 616?

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 238, 914, 460, 107, 616.

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}.