Given numbers are 409,649,557,814

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

The LCM of 409,649,557,814 is 10940947138.

Find LCM of 409,649,557,814 with Prime Factorization

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

11 x 409 x 59 x 557 x 74 = 10940947138

Therefore, the lowest common multiple of 409,649,557,814 is 10940947138.

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 649 x 557 x 814 = 120350418518

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

649 : 1, 11, 59, 649

557 : 1, 557

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 409,649,557,814, is 1.

Now, the common factors can be found like this.

409:409

649:11x 59

557:557

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 = 120350418518/(1x11)

LCM = 120350418518/11

LCM = 10940947138

Thus, we can understand that the LCM of 409,649,557,814 is 10940947138.

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

• LCM of 279, 172, 967, 877
• LCM of 250, 531, 108, 404
• LCM of 262, 315, 133, 790
• LCM of 282, 105, 675, 404
• LCM of 187, 395, 447, 977

1. What is the LCM of 409, 649, 557, 814?

Answer: LCM of 409, 649, 557, 814 is 10940947138.

2. How to calculate the LCM of 409, 649, 557, 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 409, 649, 557, 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}.