Given numbers are 828,317,702,468,988

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

The LCM of 828,317,702,468,988 is 194494716.

Find LCM of 828,317,702,468,988 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 23 x 317 x 1 x 3 x 19 = 194494716

Therefore, the lowest common multiple of 828,317,702,468,988 is 194494716.

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.

828 x 317 x 702 x 468 x 988 = 85198021354368

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

317 : 1, 317

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,317,702,468,988, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

317:317

702:2x 3x 3x 3x 13

468:2x 2x 3x 3x 13

988:2x 2x 13x 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 2x 3x 3x 3x 3x 13x 13 = 438048

Therefore, the value for common factors is 438048.

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 = 85198021354368/(1x438048)

LCM = 85198021354368/438048

LCM = 194494716

Thus, we can understand that the LCM of 828,317,702,468,988 is 194494716.

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

• LCM of 257, 456, 779, 823, 941
• LCM of 969, 923, 442, 167, 980
• LCM of 956, 885, 619, 583, 506
• LCM of 622, 138, 317, 670, 330
• LCM of 114, 761, 640, 780, 176

1. What is the LCM of 828, 317, 702, 468, 988?

Answer: LCM of 828, 317, 702, 468, 988 is 194494716.

2. How to calculate the LCM of 828, 317, 702, 468, 988?

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 828, 317, 702, 468, 988.

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}.