Given numbers are 869,221,736,582,316

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

The LCM of 869,221,736,582,316 is 41132286624.

Find LCM of 869,221,736,582,316 with Prime Factorization

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

2 x 2 x 79 x 11 x 221 x 184 x 291 x 1 = 41132286624

Therefore, the lowest common multiple of 869,221,736,582,316 is 41132286624.

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.

869 x 221 x 736 x 582 x 316 = 25995605146368

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.

869 : 1, 11, 79, 869

221 : 1, 13, 17, 221

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

582 : 1, 2, 3, 6, 97, 194, 291, 582

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,221,736,582,316, is 1.

Now, the common factors can be found like this.

869:11x 79

221:13x 17

736:2x 2x 2x 2x 2x 23

582:2x 3x 97

316:2x 2x 79

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 79 = 632

Therefore, the value for common factors is 632.

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 = 25995605146368/(1x632)

LCM = 25995605146368/632

LCM = 41132286624

Thus, we can understand that the LCM of 869,221,736,582,316 is 41132286624.

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

• LCM of 388, 511, 478, 667, 524
• LCM of 569, 947, 274, 507, 971
• LCM of 168, 549, 790, 842, 675
• LCM of 694, 925, 622, 178, 103
• LCM of 370, 755, 397, 757, 471

1. What is the LCM of 869, 221, 736, 582, 316?

Answer: LCM of 869, 221, 736, 582, 316 is 41132286624.

2. How to calculate the LCM of 869, 221, 736, 582, 316?

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 869, 221, 736, 582, 316.

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}.