Given numbers are 698,404,135,120,798

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

The LCM of 698,404,135,120,798 is 5063166360.

Find LCM of 698,404,135,120,798 with Prime Factorization

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

2 x 2 x 3 x 5 x 349 x 101 x 9 x 2 x 133 = 5063166360

Therefore, the lowest common multiple of 698,404,135,120,798 is 5063166360.

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.

698 x 404 x 135 x 120 x 798 = 3645479779200

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.

698 : 1, 2, 349, 698

404 : 1, 2, 4, 101, 202, 404

135 : 1, 3, 5, 9, 15, 27, 45, 135

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,404,135,120,798, is 1.

Now, the common factors can be found like this.

698:2x 349

404:2x 2x 101

135:3x 3x 3x 5

120:2x 2x 2x 3x 5

798:2x 3x 7x 19

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 3645479779200/(1x720)

LCM = 3645479779200/720

LCM = 5063166360

Thus, we can understand that the LCM of 698,404,135,120,798 is 5063166360.

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

• LCM of 541, 952, 532, 143, 608
• LCM of 165, 713, 761, 860, 863
• LCM of 171, 384, 899, 361, 628
• LCM of 752, 293, 460, 471, 601
• LCM of 138, 903, 644, 863, 219

1. What is the LCM of 698, 404, 135, 120, 798?

Answer: LCM of 698, 404, 135, 120, 798 is 5063166360.

2. How to calculate the LCM of 698, 404, 135, 120, 798?

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 698, 404, 135, 120, 798.

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}.