Given numbers are 561,406,896,614

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

The LCM of 561,406,896,614 is 4475146368.

Find LCM of 561,406,896,614 with Prime Factorization

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

2 x 7 x 561 x 29 x 64 x 307 = 4475146368

Therefore, the lowest common multiple of 561,406,896,614 is 4475146368.

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.

561 x 406 x 896 x 614 = 125304098304

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.

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,406,896,614, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

406:2x 7x 29

896:2x 2x 2x 2x 2x 2x 2x 7

614:2x 307

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 = 125304098304/(1x28)

LCM = 125304098304/28

LCM = 4475146368

Thus, we can understand that the LCM of 561,406,896,614 is 4475146368.

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

• LCM of 923, 909, 335, 615
• LCM of 333, 723, 617, 887
• LCM of 859, 105, 611, 106
• LCM of 372, 641, 265, 859
• LCM of 200, 762, 334, 840

1. What is the LCM of 561, 406, 896, 614?

Answer: LCM of 561, 406, 896, 614 is 4475146368.

2. How to calculate the LCM of 561, 406, 896, 614?

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 561, 406, 896, 614.

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}.