Given numbers are 348,312,910,234

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

The LCM of 348,312,910,234 is 950040.

Find LCM of 348,312,910,234 with Prime Factorization

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

2 x 2 x 3 x 13 x 29 x 2 x 35 x 3 = 950040

Therefore, the lowest common multiple of 348,312,910,234 is 950040.

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.

348 x 312 x 910 x 234 = 23120173440

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,312,910,234, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

312:2x 2x 2x 3x 13

910:2x 5x 7x 13

234:2x 3x 3x 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 3x 3x 13x 13 = 12168

Therefore, the value for common factors is 12168.

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 = 23120173440/(2x12168)

LCM = 23120173440/24336

LCM = 950040

Thus, we can understand that the LCM of 348,312,910,234 is 950040.

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

• LCM of 930, 356, 778, 205
• LCM of 194, 334, 501, 327
• LCM of 874, 400, 180, 583
• LCM of 512, 831, 698, 849
• LCM of 192, 798, 449, 920

1. What is the LCM of 348, 312, 910, 234?

Answer: LCM of 348, 312, 910, 234 is 950040.

2. How to calculate the LCM of 348, 312, 910, 234?

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 348, 312, 910, 234.

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}.