Given numbers are 341,107,814

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

The LCM of 341,107,814 is 2700038.

Find LCM of 341,107,814 with Prime Factorization

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

11 x 31 x 107 x 74 = 2700038

Therefore, the lowest common multiple of 341,107,814 is 2700038.

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.

341 x 107 x 814 = 29700418

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.

341 : 1, 11, 31, 341

107 : 1, 107

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,107,814, is 1.

Now, the common factors can be found like this.

341:11x 31

107:107

814:2x 11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 29700418/(1x11)

LCM = 29700418/11

LCM = 2700038

Thus, we can understand that the LCM of 341,107,814 is 2700038.

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

• LCM of 501, 364, 711
• LCM of 325, 391, 468
• LCM of 677, 983, 149
• LCM of 185, 512, 163
• LCM of 431, 470, 581

1. What is the LCM of 341, 107, 814?

Answer: LCM of 341, 107, 814 is 2700038.

2. How to calculate the LCM of 341, 107, 814?

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 341, 107, 814.

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}.