Given numbers are 207,374,352,558,828

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

The LCM of 207,374,352,558,828 is 38399328.

Find LCM of 207,374,352,558,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 23 x 1 x 17 x 8 x 31 x 1 = 38399328

Therefore, the lowest common multiple of 207,374,352,558,828 is 38399328.

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.

207 x 374 x 352 x 558 x 828 = 12590678859264

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.

207 : 1, 3, 9, 23, 69, 207

374 : 1, 2, 11, 17, 22, 34, 187, 374

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 207,374,352,558,828, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

374:2x 11x 17

352:2x 2x 2x 2x 2x 11

558:2x 3x 3x 31

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 3x 3x 3x 3x 11x 23 = 327888

Therefore, the value for common factors is 327888.

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 = 12590678859264/(1x327888)

LCM = 12590678859264/327888

LCM = 38399328

Thus, we can understand that the LCM of 207,374,352,558,828 is 38399328.

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

• LCM of 846, 604, 908, 248, 946
• LCM of 978, 700, 832, 679, 464
• LCM of 586, 264, 331, 497, 528
• LCM of 683, 459, 279, 787, 684
• LCM of 410, 411, 586, 127, 231

1. What is the LCM of 207, 374, 352, 558, 828?

Answer: LCM of 207, 374, 352, 558, 828 is 38399328.

2. How to calculate the LCM of 207, 374, 352, 558, 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 207, 374, 352, 558, 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}.