Given numbers are 349,363,488,774

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

The LCM of 349,363,488,774 is 7975200024.

Find LCM of 349,363,488,774 with Prime Factorization

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

2 x 3 x 349 x 121 x 244 x 129 = 7975200024

Therefore, the lowest common multiple of 349,363,488,774 is 7975200024.

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 363 x 488 x 774 = 47851200144

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

363 : 1, 3, 11, 33, 121, 363

488 : 1, 2, 4, 8, 61, 122, 244, 488

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,363,488,774, is 1.

Now, the common factors can be found like this.

349:349

363:3x 11x 11

488:2x 2x 2x 61

774:2x 3x 3x 43

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 = 47851200144/(1x6)

LCM = 47851200144/6

LCM = 7975200024

Thus, we can understand that the LCM of 349,363,488,774 is 7975200024.

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

• LCM of 865, 727, 826, 191
• LCM of 702, 938, 725, 952
• LCM of 985, 883, 501, 541
• LCM of 952, 167, 755, 175
• LCM of 135, 210, 638, 328

1. What is the LCM of 349, 363, 488, 774?

Answer: LCM of 349, 363, 488, 774 is 7975200024.

2. How to calculate the LCM of 349, 363, 488, 774?

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, 363, 488, 774.

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}.