Given numbers are 349,206,310,824

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

The LCM of 349,206,310,824 is 44574280.

Find LCM of 349,206,310,824 with Prime Factorization

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

2 x 103 x 349 x 1 x 155 x 4 = 44574280

Therefore, the lowest common multiple of 349,206,310,824 is 44574280.

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.

349 x 206 x 310 x 824 = 18364603360

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.

349 : 1, 349

206 : 1, 2, 103, 206

310 : 1, 2, 5, 10, 31, 62, 155, 310

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,206,310,824, is 1.

Now, the common factors can be found like this.

349:349

206:2x 103

310:2x 5x 31

824:2x 2x 2x 103

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 103 = 412

Therefore, the value for common factors is 412.

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 = 18364603360/(1x412)

LCM = 18364603360/412

LCM = 44574280

Thus, we can understand that the LCM of 349,206,310,824 is 44574280.

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

• LCM of 394, 466, 127, 972
• LCM of 761, 113, 932, 469
• LCM of 249, 731, 640, 848
• LCM of 879, 771, 308, 101
• LCM of 179, 275, 314, 672

1. What is the LCM of 349, 206, 310, 824?

Answer: LCM of 349, 206, 310, 824 is 44574280.

2. How to calculate the LCM of 349, 206, 310, 824?

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 349, 206, 310, 824.

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}.