Given numbers are 350,864,349,736

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

The LCM of 350,864,349,736 is 1213682400.

Find LCM of 350,864,349,736 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 175 x 27 x 349 x 23 = 1213682400

Therefore, the lowest common multiple of 350,864,349,736 is 1213682400.

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.

350 x 864 x 349 x 736 = 77675673600

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

349 : 1, 349

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,864,349,736, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

864:2x 2x 2x 2x 2x 3x 3x 3

349:349

736:2x 2x 2x 2x 2x 23

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 2 = 64

Therefore, the value for common factors is 64.

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 = 77675673600/(1x64)

LCM = 77675673600/64

LCM = 1213682400

Thus, we can understand that the LCM of 350,864,349,736 is 1213682400.

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

• LCM of 685, 353, 870, 504
• LCM of 858, 609, 522, 313
• LCM of 165, 542, 832, 654
• LCM of 180, 313, 386, 506
• LCM of 234, 533, 841, 964

1. What is the LCM of 350, 864, 349, 736?

Answer: LCM of 350, 864, 349, 736 is 1213682400.

2. How to calculate the LCM of 350, 864, 349, 736?

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 350, 864, 349, 736.

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}.