Given numbers are 364,574,107,858,700

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

The LCM of 364,574,107,858,700 is 1317416100.

Find LCM of 364,574,107,858,700 with Prime Factorization

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

2 x 2 x 7 x 13 x 1 x 41 x 107 x 33 x 25 = 1317416100

Therefore, the lowest common multiple of 364,574,107,858,700 is 1317416100.

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.

364 x 574 x 107 x 858 x 700 = 13427104891200

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

574 : 1, 2, 7, 14, 41, 82, 287, 574

107 : 1, 107

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,574,107,858,700, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

574:2x 7x 41

107:107

858:2x 3x 11x 13

700:2x 2x 5x 5x 7

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 7x 7x 13 = 10192

Therefore, the value for common factors is 10192.

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 = 13427104891200/(1x10192)

LCM = 13427104891200/10192

LCM = 1317416100

Thus, we can understand that the LCM of 364,574,107,858,700 is 1317416100.

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

• LCM of 980, 636, 472, 832, 809
• LCM of 951, 343, 225, 141, 539
• LCM of 186, 451, 627, 270, 191
• LCM of 289, 576, 593, 123, 811
• LCM of 622, 493, 584, 901, 208

1. What is the LCM of 364, 574, 107, 858, 700?

Answer: LCM of 364, 574, 107, 858, 700 is 1317416100.

2. How to calculate the LCM of 364, 574, 107, 858, 700?

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 364, 574, 107, 858, 700.

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}.