Given numbers are 614,338,921,361

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

The LCM of 614,338,921,361 is 112378578.

Find LCM of 614,338,921,361 with Prime Factorization

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

2 x 307 x 1 x 169 x 3 x 361 = 112378578

Therefore, the lowest common multiple of 614,338,921,361 is 112378578.

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.

614 x 338 x 921 x 361 = 69000446892

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.

614 : 1, 2, 307, 614

338 : 1, 2, 13, 26, 169, 338

921 : 1, 3, 307, 921

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,338,921,361, is 1.

Now, the common factors can be found like this.

614:2x 307

338:2x 13x 13

921:3x 307

361:19x 19

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

2x 307 = 614

Therefore, the value for common factors is 614.

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 = 69000446892/(1x614)

LCM = 69000446892/614

LCM = 112378578

Thus, we can understand that the LCM of 614,338,921,361 is 112378578.

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

• LCM of 393, 585, 561, 145
• LCM of 278, 269, 612, 364
• LCM of 651, 932, 635, 372
• LCM of 814, 481, 315, 113
• LCM of 690, 315, 265, 788

1. What is the LCM of 614, 338, 921, 361?

Answer: LCM of 614, 338, 921, 361 is 112378578.

2. How to calculate the LCM of 614, 338, 921, 361?

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 614, 338, 921, 361.

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}.