Given numbers are 114,328,451,107,828

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

The LCM of 114,328,451,107,828 is 1518358248.

Find LCM of 114,328,451,107,828 with Prime Factorization

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

2 x 2 x 3 x 41 x 19 x 2 x 11 x 107 x 69 = 1518358248

Therefore, the lowest common multiple of 114,328,451,107,828 is 1518358248.

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.

114 x 328 x 451 x 107 x 828 = 1494064516032

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

328 : 1, 2, 4, 8, 41, 82, 164, 328

451 : 1, 11, 41, 451

107 : 1, 107

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,328,451,107,828, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

328:2x 2x 2x 41

451:11x 41

107:107

828:2x 2x 3x 3x 23

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 3x 41 = 984

Therefore, the value for common factors is 984.

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 = 1494064516032/(1x984)

LCM = 1494064516032/984

LCM = 1518358248

Thus, we can understand that the LCM of 114,328,451,107,828 is 1518358248.

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

• LCM of 926, 146, 195, 269, 385
• LCM of 632, 908, 940, 138, 839
• LCM of 625, 825, 503, 884, 273
• LCM of 535, 198, 849, 794, 472
• LCM of 903, 603, 414, 565, 189

1. What is the LCM of 114, 328, 451, 107, 828?

Answer: LCM of 114, 328, 451, 107, 828 is 1518358248.

2. How to calculate the LCM of 114, 328, 451, 107, 828?

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 114, 328, 451, 107, 828.

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}.