Given numbers are 138,924,788,760,828

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

The LCM of 138,924,788,760,828 is 2386387080.

Find LCM of 138,924,788,760,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 77 x 197 x 190 x 3 = 2386387080

Therefore, the lowest common multiple of 138,924,788,760,828 is 2386387080.

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.

138 x 924 x 788 x 760 x 828 = 63229712071680

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.

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

788 : 1, 2, 4, 197, 394, 788

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,924,788,760,828, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

924:2x 2x 3x 7x 11

788:2x 2x 197

760:2x 2x 2x 5x 19

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 2x 2x 2x 3x 3x 23 = 13248

Therefore, the value for common factors is 13248.

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 = 63229712071680/(2x13248)

LCM = 63229712071680/26496

LCM = 2386387080

Thus, we can understand that the LCM of 138,924,788,760,828 is 2386387080.

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

• LCM of 964, 367, 448, 282, 412
• LCM of 236, 321, 388, 191, 852
• LCM of 696, 697, 220, 932, 353
• LCM of 697, 513, 877, 553, 548
• LCM of 595, 989, 272, 911, 976

1. What is the LCM of 138, 924, 788, 760, 828?

Answer: LCM of 138, 924, 788, 760, 828 is 2386387080.

2. How to calculate the LCM of 138, 924, 788, 760, 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 138, 924, 788, 760, 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}.