Given numbers are 343,683,840,687,413

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

The LCM of 343,683,840,687,413 is 379825015080.

Find LCM of 343,683,840,687,413 with Prime Factorization

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

3 x 7 x 49 x 683 x 40 x 229 x 59 = 379825015080

Therefore, the lowest common multiple of 343,683,840,687,413 is 379825015080.

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.

343 x 683 x 840 x 687 x 413 = 55834277216760

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.

343 : 1, 7, 49, 343

683 : 1, 683

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

687 : 1, 3, 229, 687

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,683,840,687,413, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

683:683

840:2x 2x 2x 3x 5x 7

687:3x 229

413:7x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 55834277216760/(1x147)

LCM = 55834277216760/147

LCM = 379825015080

Thus, we can understand that the LCM of 343,683,840,687,413 is 379825015080.

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

• LCM of 516, 956, 926, 300, 874
• LCM of 913, 113, 549, 731, 825
• LCM of 581, 761, 338, 601, 519
• LCM of 702, 391, 954, 255, 196
• LCM of 996, 167, 780, 167, 105

1. What is the LCM of 343, 683, 840, 687, 413?

Answer: LCM of 343, 683, 840, 687, 413 is 379825015080.

2. How to calculate the LCM of 343, 683, 840, 687, 413?

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 343, 683, 840, 687, 413.

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}.