Given numbers are 914,720,578,788,377

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

The LCM of 914,720,578,788,377 is 7062429338640.

Find LCM of 914,720,578,788,377 with Prime Factorization

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

2 x 2 x 457 x 180 x 289 x 197 x 377 = 7062429338640

Therefore, the lowest common multiple of 914,720,578,788,377 is 7062429338640.

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.

914 x 720 x 578 x 788 x 377 = 112998869418240

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.

914 : 1, 2, 457, 914

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

578 : 1, 2, 17, 34, 289, 578

788 : 1, 2, 4, 197, 394, 788

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,720,578,788,377, is 1.

Now, the common factors can be found like this.

914:2x 457

720:2x 2x 2x 2x 3x 3x 5

578:2x 17x 17

788:2x 2x 197

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 2 = 16

Therefore, the value for common factors is 16.

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 = 112998869418240/(1x16)

LCM = 112998869418240/16

LCM = 7062429338640

Thus, we can understand that the LCM of 914,720,578,788,377 is 7062429338640.

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

• LCM of 214, 494, 974, 386, 668
• LCM of 445, 882, 429, 314, 851
• LCM of 889, 571, 462, 369, 214
• LCM of 382, 203, 229, 870, 196
• LCM of 960, 216, 591, 753, 742

1. What is the LCM of 914, 720, 578, 788, 377?

Answer: LCM of 914, 720, 578, 788, 377 is 7062429338640.

2. How to calculate the LCM of 914, 720, 578, 788, 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 914, 720, 578, 788, 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}.