Given numbers are 314,109,754,334,824

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

The LCM of 314,109,754,334,824 is 887791910408.

Find LCM of 314,109,754,334,824 with Prime Factorization

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

2 x 157 x 109 x 377 x 167 x 412 = 887791910408

Therefore, the lowest common multiple of 314,109,754,334,824 is 887791910408.

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.

314 x 109 x 754 x 334 x 824 = 7102335283264

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.

314 : 1, 2, 157, 314

109 : 1, 109

754 : 1, 2, 13, 26, 29, 58, 377, 754

334 : 1, 2, 167, 334

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,109,754,334,824, is 1.

Now, the common factors can be found like this.

314:2x 157

109:109

754:2x 13x 29

334:2x 167

824:2x 2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7102335283264/(1x8)

LCM = 7102335283264/8

LCM = 887791910408

Thus, we can understand that the LCM of 314,109,754,334,824 is 887791910408.

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

• LCM of 188, 845, 150, 921, 172
• LCM of 348, 520, 985, 218, 569
• LCM of 236, 701, 782, 697, 613
• LCM of 868, 924, 337, 460, 745
• LCM of 584, 118, 477, 335, 429

1. What is the LCM of 314, 109, 754, 334, 824?

Answer: LCM of 314, 109, 754, 334, 824 is 887791910408.

2. How to calculate the LCM of 314, 109, 754, 334, 824?

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 314, 109, 754, 334, 824.

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}.