Given numbers are 478,828,138,966,536

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

The LCM of 478,828,138,966,536 is 185622696.

Find LCM of 478,828,138,966,536 with Prime Factorization

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

2 x 2 x 3 x 23 x 239 x 1 x 3 x 7 x 134 = 185622696

Therefore, the lowest common multiple of 478,828,138,966,536 is 185622696.

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.

478 x 828 x 138 x 966 x 536 = 28279988980992

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.

478 : 1, 2, 239, 478

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

536 : 1, 2, 4, 8, 67, 134, 268, 536

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,828,138,966,536, is 2.

Now, the common factors can be found like this.

478:2x 239

828:2x 2x 3x 3x 23

138:2x 3x 23

966:2x 3x 7x 23

536:2x 2x 2x 67

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 23x 23 = 76176

Therefore, the value for common factors is 76176.

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 = 28279988980992/(2x76176)

LCM = 28279988980992/152352

LCM = 185622696

Thus, we can understand that the LCM of 478,828,138,966,536 is 185622696.

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

• LCM of 839, 443, 868, 253, 566
• LCM of 124, 862, 695, 522, 693
• LCM of 614, 371, 804, 369, 528
• LCM of 508, 374, 308, 329, 953
• LCM of 385, 792, 417, 338, 137

1. What is the LCM of 478, 828, 138, 966, 536?

Answer: LCM of 478, 828, 138, 966, 536 is 185622696.

2. How to calculate the LCM of 478, 828, 138, 966, 536?

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 478, 828, 138, 966, 536.

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}.