Given numbers are 354,304,572,728,377

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

The LCM of 354,304,572,728,377 is 1561992432.

Find LCM of 354,304,572,728,377 with Prime Factorization

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

2 x 2 x 2 x 13 x 177 x 38 x 11 x 7 x 29 = 1561992432

Therefore, the lowest common multiple of 354,304,572,728,377 is 1561992432.

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.

354 x 304 x 572 x 728 x 377 = 16894510144512

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,304,572,728,377, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

304:2x 2x 2x 2x 19

572:2x 2x 11x 13

728:2x 2x 2x 7x 13

377:13x 29

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 2x 13x 13 = 10816

Therefore, the value for common factors is 10816.

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 = 16894510144512/(1x10816)

LCM = 16894510144512/10816

LCM = 1561992432

Thus, we can understand that the LCM of 354,304,572,728,377 is 1561992432.

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

• LCM of 986, 850, 124, 522, 428
• LCM of 622, 793, 169, 109, 109
• LCM of 427, 810, 535, 531, 136
• LCM of 908, 679, 989, 744, 251
• LCM of 680, 382, 339, 691, 241

1. What is the LCM of 354, 304, 572, 728, 377?

Answer: LCM of 354, 304, 572, 728, 377 is 1561992432.

2. How to calculate the LCM of 354, 304, 572, 728, 377?

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 354, 304, 572, 728, 377.

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}.