Given numbers are 357,624,102,422,284

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

The LCM of 357,624,102,422,284 is 1112429136.

Find LCM of 357,624,102,422,284 with Prime Factorization

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

2 x 2 x 3 x 17 x 7 x 52 x 1 x 211 x 71 = 1112429136

Therefore, the lowest common multiple of 357,624,102,422,284 is 1112429136.

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.

357 x 624 x 102 x 422 x 284 = 2723226524928

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.

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

422 : 1, 2, 211, 422

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,624,102,422,284, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

624:2x 2x 2x 2x 3x 13

102:2x 3x 17

422:2x 211

284:2x 2x 71

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 17 = 2448

Therefore, the value for common factors is 2448.

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 = 2723226524928/(1x2448)

LCM = 2723226524928/2448

LCM = 1112429136

Thus, we can understand that the LCM of 357,624,102,422,284 is 1112429136.

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

• LCM of 333, 537, 616, 216, 396
• LCM of 399, 705, 725, 740, 563
• LCM of 546, 645, 215, 683, 823
• LCM of 581, 372, 340, 587, 813
• LCM of 257, 402, 986, 771, 866

1. What is the LCM of 357, 624, 102, 422, 284?

Answer: LCM of 357, 624, 102, 422, 284 is 1112429136.

2. How to calculate the LCM of 357, 624, 102, 422, 284?

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 357, 624, 102, 422, 284.

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}.