Given numbers are 214,687,483,897

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

The LCM of 214,687,483,897 is 307708674.

Find LCM of 214,687,483,897 with Prime Factorization

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

3 x 23 x 214 x 229 x 7 x 13 = 307708674

Therefore, the lowest common multiple of 214,687,483,897 is 307708674.

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.

214 x 687 x 483 x 897 = 63695695518

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.

214 : 1, 2, 107, 214

687 : 1, 3, 229, 687

483 : 1, 3, 7, 21, 23, 69, 161, 483

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,687,483,897, is 1.

Now, the common factors can be found like this.

214:2x 107

687:3x 229

483:3x 7x 23

897:3x 13x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 63695695518/(1x207)

LCM = 63695695518/207

LCM = 307708674

Thus, we can understand that the LCM of 214,687,483,897 is 307708674.

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

• LCM of 513, 200, 293, 132
• LCM of 844, 858, 156, 302
• LCM of 742, 826, 517, 368
• LCM of 546, 626, 127, 832
• LCM of 845, 410, 943, 826

1. What is the LCM of 214, 687, 483, 897?

Answer: LCM of 214, 687, 483, 897 is 307708674.

2. How to calculate the LCM of 214, 687, 483, 897?

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 214, 687, 483, 897.

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}.