Given numbers are 902,628,315,614

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

The LCM of 902,628,315,614 is 27389563740.

Find LCM of 902,628,315,614 with Prime Factorization

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

2 x 451 x 314 x 315 x 307 = 27389563740

Therefore, the lowest common multiple of 902,628,315,614 is 27389563740.

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.

902 x 628 x 315 x 614 = 109558254960

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

628 : 1, 2, 4, 157, 314, 628

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,628,315,614, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

628:2x 2x 157

315:3x 3x 5x 7

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 109558254960/(1x4)

LCM = 109558254960/4

LCM = 27389563740

Thus, we can understand that the LCM of 902,628,315,614 is 27389563740.

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

• LCM of 413, 477, 410, 818
• LCM of 567, 371, 293, 208
• LCM of 663, 729, 353, 415
• LCM of 334, 386, 810, 744
• LCM of 404, 109, 935, 322

1. What is the LCM of 902, 628, 315, 614?

Answer: LCM of 902, 628, 315, 614 is 27389563740.

2. How to calculate the LCM of 902, 628, 315, 614?

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 902, 628, 315, 614.

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}.