Given numbers are 348,864,920,194

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

The LCM of 348,864,920,194 is 279499680.

Find LCM of 348,864,920,194 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 36 x 115 x 97 = 279499680

Therefore, the lowest common multiple of 348,864,920,194 is 279499680.

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 864 x 920 x 194 = 53663938560

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

194 : 1, 2, 97, 194

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,864,920,194, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

864:2x 2x 2x 2x 2x 3x 3x 3

920:2x 2x 2x 5x 23

194:2x 97

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 53663938560/(2x96)

LCM = 53663938560/192

LCM = 279499680

Thus, we can understand that the LCM of 348,864,920,194 is 279499680.

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

• LCM of 568, 316, 821, 670
• LCM of 677, 774, 968, 700
• LCM of 140, 402, 824, 747
• LCM of 144, 173, 389, 898
• LCM of 588, 592, 960, 820

1. What is the LCM of 348, 864, 920, 194?

Answer: LCM of 348, 864, 920, 194 is 279499680.

2. How to calculate the LCM of 348, 864, 920, 194?

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, 864, 920, 194.

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}.