Given numbers are 879,138,212,343

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

The LCM of 879,138,212,343 is 1470099372.

Find LCM of 879,138,212,343 with Prime Factorization

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

2 x 3 x 293 x 23 x 106 x 343 = 1470099372

Therefore, the lowest common multiple of 879,138,212,343 is 1470099372.

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.

879 x 138 x 212 x 343 = 8820596232

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.

879 : 1, 3, 293, 879

138 : 1, 2, 3, 6, 23, 46, 69, 138

212 : 1, 2, 4, 53, 106, 212

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,138,212,343, is 1.

Now, the common factors can be found like this.

879:3x 293

138:2x 3x 23

212:2x 2x 53

343:7x 7x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8820596232/(1x6)

LCM = 8820596232/6

LCM = 1470099372

Thus, we can understand that the LCM of 879,138,212,343 is 1470099372.

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

• LCM of 580, 572, 965, 493
• LCM of 857, 100, 691, 512
• LCM of 898, 496, 583, 404
• LCM of 900, 963, 324, 640
• LCM of 240, 723, 540, 116

1. What is the LCM of 879, 138, 212, 343?

Answer: LCM of 879, 138, 212, 343 is 1470099372.

2. How to calculate the LCM of 879, 138, 212, 343?

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 879, 138, 212, 343.

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}.