Given numbers are 138,858,372,368,920

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

The LCM of 138,858,372,368,920 is 24470160.

Find LCM of 138,858,372,368,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 1 x 143 x 31 x 2 x 5 = 24470160

Therefore, the lowest common multiple of 138,858,372,368,920 is 24470160.

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 858 x 372 x 368 x 920 = 14912311265280

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,858,372,368,920, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

858:2x 3x 11x 13

372:2x 2x 3x 31

368:2x 2x 2x 2x 23

920:2x 2x 2x 5x 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 23x 23 = 304704

Therefore, the value for common factors is 304704.

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 = 14912311265280/(2x304704)

LCM = 14912311265280/609408

LCM = 24470160

Thus, we can understand that the LCM of 138,858,372,368,920 is 24470160.

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

• LCM of 585, 675, 578, 828, 522
• LCM of 216, 878, 630, 763, 529
• LCM of 606, 500, 400, 609, 959
• LCM of 137, 713, 540, 358, 301
• LCM of 568, 394, 930, 278, 817

1. What is the LCM of 138, 858, 372, 368, 920?

Answer: LCM of 138, 858, 372, 368, 920 is 24470160.

2. How to calculate the LCM of 138, 858, 372, 368, 920?

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, 858, 372, 368, 920.

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}.