Given numbers are 409,742,826,376

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

The LCM of 409,742,826,376 is 3366177976.

Find LCM of 409,742,826,376 with Prime Factorization

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

2 x 7 x 409 x 53 x 59 x 188 = 3366177976

Therefore, the lowest common multiple of 409,742,826,376 is 3366177976.

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.

409 x 742 x 826 x 376 = 94252983328

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.

409 : 1, 409

742 : 1, 2, 7, 14, 53, 106, 371, 742

826 : 1, 2, 7, 14, 59, 118, 413, 826

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,742,826,376, is 1.

Now, the common factors can be found like this.

409:409

742:2x 7x 53

826:2x 7x 59

376:2x 2x 2x 47

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 7 = 28

Therefore, the value for common factors is 28.

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 = 94252983328/(1x28)

LCM = 94252983328/28

LCM = 3366177976

Thus, we can understand that the LCM of 409,742,826,376 is 3366177976.

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

• LCM of 278, 465, 286, 213
• LCM of 709, 528, 802, 256
• LCM of 112, 855, 878, 410
• LCM of 765, 588, 473, 920
• LCM of 353, 485, 941, 853

1. What is the LCM of 409, 742, 826, 376?

Answer: LCM of 409, 742, 826, 376 is 3366177976.

2. How to calculate the LCM of 409, 742, 826, 376?

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 409, 742, 826, 376.

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}.