Given numbers are 856,321,507,319

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

The LCM of 856,321,507,319 is 138443448.

Find LCM of 856,321,507,319 with Prime Factorization

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

3 x 107 x 8 x 1 x 169 x 319 = 138443448

Therefore, the lowest common multiple of 856,321,507,319 is 138443448.

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 321 x 507 x 319 = 44440346808

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

321 : 1, 3, 107, 321

507 : 1, 3, 13, 39, 169, 507

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,321,507,319, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

321:3x 107

507:3x 13x 13

319:11x 29

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 44440346808/(1x321)

LCM = 44440346808/321

LCM = 138443448

Thus, we can understand that the LCM of 856,321,507,319 is 138443448.

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

• LCM of 823, 803, 378, 904
• LCM of 840, 665, 864, 547
• LCM of 863, 452, 447, 165
• LCM of 494, 615, 553, 692
• LCM of 899, 910, 418, 843

1. What is the LCM of 856, 321, 507, 319?

Answer: LCM of 856, 321, 507, 319 is 138443448.

2. How to calculate the LCM of 856, 321, 507, 319?

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, 321, 507, 319.

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}.