Given numbers are 214,326,855,460,977

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

The LCM of 214,326,855,460,977 is 1340355151620.

Find LCM of 214,326,855,460,977 with Prime Factorization

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

2 x 5 x 107 x 163 x 171 x 46 x 977 = 1340355151620

Therefore, the lowest common multiple of 214,326,855,460,977 is 1340355151620.

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 326 x 855 x 460 x 977 = 26807103032400

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

326 : 1, 2, 163, 326

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,326,855,460,977, is 1.

Now, the common factors can be found like this.

214:2x 107

326:2x 163

855:3x 3x 5x 19

460:2x 2x 5x 23

977:977

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 5 = 20

Therefore, the value for common factors is 20.

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 = 26807103032400/(1x20)

LCM = 26807103032400/20

LCM = 1340355151620

Thus, we can understand that the LCM of 214,326,855,460,977 is 1340355151620.

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

• LCM of 324, 836, 873, 276, 770
• LCM of 948, 698, 670, 355, 683
• LCM of 632, 529, 225, 510, 240
• LCM of 780, 221, 615, 390, 444
• LCM of 997, 565, 901, 650, 544

1. What is the LCM of 214, 326, 855, 460, 977?

Answer: LCM of 214, 326, 855, 460, 977 is 1340355151620.

2. How to calculate the LCM of 214, 326, 855, 460, 977?

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, 326, 855, 460, 977.

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}.