Given numbers are 349,854,704,990,374

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

The LCM of 349,854,704,990,374 is 80257826880.

Find LCM of 349,854,704,990,374 with Prime Factorization

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

2 x 11 x 349 x 427 x 32 x 45 x 17 = 80257826880

Therefore, the lowest common multiple of 349,854,704,990,374 is 80257826880.

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 854 x 704 x 990 x 374 = 77689576419840

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

854 : 1, 2, 7, 14, 61, 122, 427, 854

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,854,704,990,374, is 1.

Now, the common factors can be found like this.

349:349

854:2x 7x 61

704:2x 2x 2x 2x 2x 2x 11

990:2x 3x 3x 5x 11

374:2x 11x 17

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 77689576419840/(1x968)

LCM = 77689576419840/968

LCM = 80257826880

Thus, we can understand that the LCM of 349,854,704,990,374 is 80257826880.

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

• LCM of 184, 553, 997, 602, 843
• LCM of 180, 223, 928, 638, 742
• LCM of 664, 331, 930, 908, 282
• LCM of 567, 487, 513, 843, 820
• LCM of 619, 864, 550, 679, 616

1. What is the LCM of 349, 854, 704, 990, 374?

Answer: LCM of 349, 854, 704, 990, 374 is 80257826880.

2. How to calculate the LCM of 349, 854, 704, 990, 374?

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, 854, 704, 990, 374.

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}.