Given numbers are 343,115,399,713

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

The LCM of 343,115,399,713 is 69699315.

Find LCM of 343,115,399,713 with Prime Factorization

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

7 x 23 x 49 x 5 x 57 x 31 = 69699315

Therefore, the lowest common multiple of 343,115,399,713 is 69699315.

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 115 x 399 x 713 = 11221589715

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

115 : 1, 5, 23, 115

399 : 1, 3, 7, 19, 21, 57, 133, 399

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,115,399,713, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

115:5x 23

399:3x 7x 19

713:23x 31

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

7x 23 = 161

Therefore, the value for common factors is 161.

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 = 11221589715/(1x161)

LCM = 11221589715/161

LCM = 69699315

Thus, we can understand that the LCM of 343,115,399,713 is 69699315.

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

• LCM of 594, 991, 824, 260
• LCM of 852, 415, 151, 789
• LCM of 943, 977, 329, 627
• LCM of 542, 447, 488, 915
• LCM of 647, 552, 105, 517

1. What is the LCM of 343, 115, 399, 713?

Answer: LCM of 343, 115, 399, 713 is 69699315.

2. How to calculate the LCM of 343, 115, 399, 713?

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, 115, 399, 713.

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}.