Given numbers are 354,649,413,914

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

The LCM of 354,649,413,914 is 12456906.

Find LCM of 354,649,413,914 with Prime Factorization

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

2 x 59 x 3 x 11 x 7 x 457 = 12456906

Therefore, the lowest common multiple of 354,649,413,914 is 12456906.

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.

354 x 649 x 413 x 914 = 86724979572

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

649 : 1, 11, 59, 649

413 : 1, 7, 59, 413

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,649,413,914, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

649:11x 59

413:7x 59

914:2x 457

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

2x 59x 59 = 6962

Therefore, the value for common factors is 6962.

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 = 86724979572/(1x6962)

LCM = 86724979572/6962

LCM = 12456906

Thus, we can understand that the LCM of 354,649,413,914 is 12456906.

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

• LCM of 573, 413, 240, 918
• LCM of 337, 713, 512, 809
• LCM of 944, 582, 967, 916
• LCM of 461, 314, 419, 502
• LCM of 478, 178, 548, 710

1. What is the LCM of 354, 649, 413, 914?

Answer: LCM of 354, 649, 413, 914 is 12456906.

2. How to calculate the LCM of 354, 649, 413, 914?

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 354, 649, 413, 914.

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}.