Given numbers are 102,204,228,594,357

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

The LCM of 102,204,228,594,357 is 2686068.

Find LCM of 102,204,228,594,357 with Prime Factorization

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

2 x 2 x 3 x 17 x 1 x 1 x 19 x 99 x 7 = 2686068

Therefore, the lowest common multiple of 102,204,228,594,357 is 2686068.

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.

102 x 204 x 228 x 594 x 357 = 1006050652992

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

357 : 1, 3, 7, 17, 21, 51, 119, 357

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,204,228,594,357, is 3.

Now, the common factors can be found like this.

102:2x 3x 17

204:2x 2x 3x 17

228:2x 2x 3x 19

594:2x 3x 3x 3x 11

357:3x 7x 17

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 17x 17 = 124848

Therefore, the value for common factors is 124848.

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 = 1006050652992/(3x124848)

LCM = 1006050652992/374544

LCM = 2686068

Thus, we can understand that the LCM of 102,204,228,594,357 is 2686068.

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

• LCM of 892, 861, 558, 825, 606
• LCM of 416, 630, 437, 259, 103
• LCM of 485, 309, 458, 461, 477
• LCM of 317, 187, 982, 566, 448
• LCM of 528, 417, 904, 382, 858

1. What is the LCM of 102, 204, 228, 594, 357?

Answer: LCM of 102, 204, 228, 594, 357 is 2686068.

2. How to calculate the LCM of 102, 204, 228, 594, 357?

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 102, 204, 228, 594, 357.

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}.