Given numbers are 338,214,248,879,910

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

The LCM of 338,214,248,879,910 is 137968226760.

Find LCM of 338,214,248,879,910 with Prime Factorization

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

2 x 13 x 13 x 107 x 124 x 879 x 35 = 137968226760

Therefore, the lowest common multiple of 338,214,248,879,910 is 137968226760.

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.

338 x 214 x 248 x 879 x 910 = 14348695583040

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.

338 : 1, 2, 13, 26, 169, 338

214 : 1, 2, 107, 214

248 : 1, 2, 4, 8, 31, 62, 124, 248

879 : 1, 3, 293, 879

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,214,248,879,910, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

214:2x 107

248:2x 2x 2x 31

879:3x 293

910:2x 5x 7x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 14348695583040/(1x104)

LCM = 14348695583040/104

LCM = 137968226760

Thus, we can understand that the LCM of 338,214,248,879,910 is 137968226760.

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

• LCM of 714, 493, 176, 314, 285
• LCM of 587, 327, 779, 923, 300
• LCM of 302, 658, 292, 339, 933
• LCM of 944, 831, 592, 986, 695
• LCM of 472, 193, 646, 646, 601

1. What is the LCM of 338, 214, 248, 879, 910?

Answer: LCM of 338, 214, 248, 879, 910 is 137968226760.

2. How to calculate the LCM of 338, 214, 248, 879, 910?

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 338, 214, 248, 879, 910.

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}.