Given numbers are 349,763,294,608

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

The LCM of 349,763,294,608 is 3399952416.

Find LCM of 349,763,294,608 with Prime Factorization

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

2 x 7 x 349 x 109 x 21 x 304 = 3399952416

Therefore, the lowest common multiple of 349,763,294,608 is 3399952416.

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 763 x 294 x 608 = 47599333824

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

763 : 1, 7, 109, 763

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,763,294,608, is 1.

Now, the common factors can be found like this.

349:349

763:7x 109

294:2x 3x 7x 7

608:2x 2x 2x 2x 2x 19

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 47599333824/(1x14)

LCM = 47599333824/14

LCM = 3399952416

Thus, we can understand that the LCM of 349,763,294,608 is 3399952416.

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

• LCM of 752, 364, 921, 668
• LCM of 717, 179, 592, 798
• LCM of 272, 746, 640, 889
• LCM of 192, 865, 738, 827
• LCM of 995, 536, 537, 182

1. What is the LCM of 349, 763, 294, 608?

Answer: LCM of 349, 763, 294, 608 is 3399952416.

2. How to calculate the LCM of 349, 763, 294, 608?

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, 763, 294, 608.

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}.