Given numbers are 856,230,360,644,298

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

The LCM of 856,230,360,644,298 is 924056280.

Find LCM of 856,230,360,644,298 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 107 x 1 x 9 x 7 x 149 = 924056280

Therefore, the lowest common multiple of 856,230,360,644,298 is 924056280.

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.

856 x 230 x 360 x 644 x 298 = 13602108441600

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

230 : 1, 2, 5, 10, 23, 46, 115, 230

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

298 : 1, 2, 149, 298

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,230,360,644,298, is 2.

Now, the common factors can be found like this.

856:2x 2x 2x 107

230:2x 5x 23

360:2x 2x 2x 3x 3x 5

644:2x 2x 7x 23

298:2x 149

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 2x 2x 5x 23 = 7360

Therefore, the value for common factors is 7360.

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 = 13602108441600/(2x7360)

LCM = 13602108441600/14720

LCM = 924056280

Thus, we can understand that the LCM of 856,230,360,644,298 is 924056280.

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

• LCM of 366, 214, 679, 200, 373
• LCM of 766, 948, 530, 754, 561
• LCM of 863, 353, 990, 358, 656
• LCM of 844, 547, 668, 998, 974
• LCM of 794, 750, 614, 322, 231

1. What is the LCM of 856, 230, 360, 644, 298?

Answer: LCM of 856, 230, 360, 644, 298 is 924056280.

2. How to calculate the LCM of 856, 230, 360, 644, 298?

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 856, 230, 360, 644, 298.

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}.