Given numbers are 700,345,920,296,702

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

The LCM of 700,345,920,296,702 is 418181400.

Find LCM of 700,345,920,296,702 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 35 x 1 x 1 x 37 x 117 = 418181400

Therefore, the lowest common multiple of 700,345,920,296,702 is 418181400.

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 345 x 920 x 296 x 702 = 46167226560000

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,345,920,296,702, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

345:3x 5x 23

920:2x 2x 2x 5x 23

296:2x 2x 2x 37

702:2x 3x 3x 3x 13

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 2x 2x 3x 5x 5x 23 = 110400

Therefore, the value for common factors is 110400.

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 = 46167226560000/(1x110400)

LCM = 46167226560000/110400

LCM = 418181400

Thus, we can understand that the LCM of 700,345,920,296,702 is 418181400.

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

• LCM of 188, 963, 975, 700, 264
• LCM of 111, 838, 755, 115, 215
• LCM of 791, 744, 593, 427, 134
• LCM of 979, 326, 342, 445, 198
• LCM of 345, 411, 900, 295, 476

1. What is the LCM of 700, 345, 920, 296, 702?

Answer: LCM of 700, 345, 920, 296, 702 is 418181400.

2. How to calculate the LCM of 700, 345, 920, 296, 702?

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, 345, 920, 296, 702.

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}.