Given numbers are 349,344,412,561

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

The LCM of 349,344,412,561 is 6937195848.

Find LCM of 349,344,412,561 with Prime Factorization

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

2 x 2 x 349 x 86 x 103 x 561 = 6937195848

Therefore, the lowest common multiple of 349,344,412,561 is 6937195848.

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.

349 x 344 x 412 x 561 = 27748783392

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.

349 : 1, 349

344 : 1, 2, 4, 8, 43, 86, 172, 344

412 : 1, 2, 4, 103, 206, 412

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,344,412,561, is 1.

Now, the common factors can be found like this.

349:349

344:2x 2x 2x 43

412:2x 2x 103

561:3x 11x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27748783392/(1x4)

LCM = 27748783392/4

LCM = 6937195848

Thus, we can understand that the LCM of 349,344,412,561 is 6937195848.

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

• LCM of 492, 974, 639, 909
• LCM of 942, 823, 461, 514
• LCM of 417, 424, 650, 184
• LCM of 218, 772, 703, 239
• LCM of 409, 710, 173, 843

1. What is the LCM of 349, 344, 412, 561?

Answer: LCM of 349, 344, 412, 561 is 6937195848.

2. How to calculate the LCM of 349, 344, 412, 561?

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 349, 344, 412, 561.

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}.