Given numbers are 297,969,408,470,714

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

The LCM of 297,969,408,470,714 is 1262451960.

Find LCM of 297,969,408,470,714 with Prime Factorization

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

2 x 3 x 17 x 99 x 19 x 4 x 235 x 7 = 1262451960

Therefore, the lowest common multiple of 297,969,408,470,714 is 1262451960.

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.

297 x 969 x 408 x 470 x 714 = 39403650575520

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

969 : 1, 3, 17, 19, 51, 57, 323, 969

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

470 : 1, 2, 5, 10, 47, 94, 235, 470

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,969,408,470,714, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

969:3x 17x 19

408:2x 2x 2x 3x 17

470:2x 5x 47

714:2x 3x 7x 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 3x 3x 3x 17x 17 = 31212

Therefore, the value for common factors is 31212.

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 = 39403650575520/(1x31212)

LCM = 39403650575520/31212

LCM = 1262451960

Thus, we can understand that the LCM of 297,969,408,470,714 is 1262451960.

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

• LCM of 105, 477, 924, 888, 923
• LCM of 175, 248, 656, 252, 776
• LCM of 733, 948, 554, 477, 308
• LCM of 828, 256, 962, 823, 449
• LCM of 396, 230, 765, 500, 800

1. What is the LCM of 297, 969, 408, 470, 714?

Answer: LCM of 297, 969, 408, 470, 714 is 1262451960.

2. How to calculate the LCM of 297, 969, 408, 470, 714?

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 297, 969, 408, 470, 714.

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}.