Given numbers are 870,268,804,335,107

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

The LCM of 870,268,804,335,107 is 12474060.

Find LCM of 870,268,804,335,107 with Prime Factorization

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

2 x 2 x 3 x 5 x 67 x 29 x 1 x 1 x 1 x 107 = 12474060

Therefore, the lowest common multiple of 870,268,804,335,107 is 12474060.

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.

870 x 268 x 804 x 335 x 107 = 6719526640800

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

268 : 1, 2, 4, 67, 134, 268

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

335 : 1, 5, 67, 335

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,268,804,335,107, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

268:2x 2x 67

804:2x 2x 3x 67

335:5x 67

107:107

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 2x 3x 5x 67x 67 = 538680

Therefore, the value for common factors is 538680.

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 = 6719526640800/(1x538680)

LCM = 6719526640800/538680

LCM = 12474060

Thus, we can understand that the LCM of 870,268,804,335,107 is 12474060.

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

• LCM of 184, 347, 986, 747, 865
• LCM of 540, 189, 536, 780, 554
• LCM of 601, 209, 487, 816, 282
• LCM of 525, 607, 116, 525, 496
• LCM of 795, 757, 415, 718, 510

1. What is the LCM of 870, 268, 804, 335, 107?

Answer: LCM of 870, 268, 804, 335, 107 is 12474060.

2. How to calculate the LCM of 870, 268, 804, 335, 107?

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 870, 268, 804, 335, 107.

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}.