Given numbers are 348,766,214,770

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

The LCM of 348,766,214,770 is 5490634380.

Find LCM of 348,766,214,770 with Prime Factorization

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

2 x 174 x 383 x 107 x 385 = 5490634380

Therefore, the lowest common multiple of 348,766,214,770 is 5490634380.

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 766 x 214 x 770 = 43925075040

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

766 : 1, 2, 383, 766

214 : 1, 2, 107, 214

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,766,214,770, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

766:2x 383

214:2x 107

770:2x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 43925075040/(2x4)

LCM = 43925075040/8

LCM = 5490634380

Thus, we can understand that the LCM of 348,766,214,770 is 5490634380.

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

• LCM of 798, 526, 560, 167
• LCM of 359, 987, 275, 341
• LCM of 988, 743, 212, 955
• LCM of 297, 996, 307, 375
• LCM of 947, 247, 902, 527

1. What is the LCM of 348, 766, 214, 770?

Answer: LCM of 348, 766, 214, 770 is 5490634380.

2. How to calculate the LCM of 348, 766, 214, 770?

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, 766, 214, 770.

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}.