Given numbers are 700,702,288,435,339

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

The LCM of 700,702,288,435,339 is 6441271200.

Find LCM of 700,702,288,435,339 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 35 x 39 x 8 x 29 x 113 = 6441271200

Therefore, the lowest common multiple of 700,702,288,435,339 is 6441271200.

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.

700 x 702 x 288 x 435 x 339 = 20869718688000

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.

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

435 : 1, 3, 5, 15, 29, 87, 145, 435

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,702,288,435,339, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

702:2x 3x 3x 3x 13

288:2x 2x 2x 2x 2x 3x 3

435:3x 5x 29

339:3x 113

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 3x 3x 3x 3x 5 = 3240

Therefore, the value for common factors is 3240.

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 = 20869718688000/(1x3240)

LCM = 20869718688000/3240

LCM = 6441271200

Thus, we can understand that the LCM of 700,702,288,435,339 is 6441271200.

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

• LCM of 123, 463, 422, 229, 556
• LCM of 343, 559, 728, 719, 620
• LCM of 741, 677, 694, 567, 682
• LCM of 895, 907, 122, 315, 778
• LCM of 997, 588, 171, 969, 105

1. What is the LCM of 700, 702, 288, 435, 339?

Answer: LCM of 700, 702, 288, 435, 339 is 6441271200.

2. How to calculate the LCM of 700, 702, 288, 435, 339?

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 700, 702, 288, 435, 339.

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}.