Given numbers are 349,770,517,268,446

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

The LCM of 349,770,517,268,446 is 377418923420.

Find LCM of 349,770,517,268,446 with Prime Factorization

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

2 x 11 x 349 x 35 x 47 x 134 x 223 = 377418923420

Therefore, the lowest common multiple of 349,770,517,268,446 is 377418923420.

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 770 x 517 x 268 x 446 = 16606432630480

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

517 : 1, 11, 47, 517

268 : 1, 2, 4, 67, 134, 268

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,770,517,268,446, is 1.

Now, the common factors can be found like this.

349:349

770:2x 5x 7x 11

517:11x 47

268:2x 2x 67

446:2x 223

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 11 = 44

Therefore, the value for common factors is 44.

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 = 16606432630480/(1x44)

LCM = 16606432630480/44

LCM = 377418923420

Thus, we can understand that the LCM of 349,770,517,268,446 is 377418923420.

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

• LCM of 670, 908, 995, 309, 861
• LCM of 508, 517, 647, 296, 914
• LCM of 424, 600, 531, 248, 547
• LCM of 823, 588, 113, 818, 802
• LCM of 359, 854, 371, 335, 528

1. What is the LCM of 349, 770, 517, 268, 446?

Answer: LCM of 349, 770, 517, 268, 446 is 377418923420.

2. How to calculate the LCM of 349, 770, 517, 268, 446?

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, 770, 517, 268, 446.

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}.