Given numbers are 310,660,902,968

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

The LCM of 310,660,902,968 is 18454920.

Find LCM of 310,660,902,968 with Prime Factorization

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

2 x 2 x 5 x 11 x 31 x 3 x 41 x 22 = 18454920

Therefore, the lowest common multiple of 310,660,902,968 is 18454920.

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.

310 x 660 x 902 x 968 = 178643625600

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,660,902,968, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

660:2x 2x 3x 5x 11

902:2x 11x 41

968:2x 2x 2x 11x 11

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 2x 5x 11x 11 = 4840

Therefore, the value for common factors is 4840.

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 = 178643625600/(2x4840)

LCM = 178643625600/9680

LCM = 18454920

Thus, we can understand that the LCM of 310,660,902,968 is 18454920.

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

• LCM of 494, 886, 196, 156
• LCM of 653, 111, 366, 574
• LCM of 401, 404, 204, 955
• LCM of 463, 377, 892, 900
• LCM of 766, 337, 769, 755

1. What is the LCM of 310, 660, 902, 968?

Answer: LCM of 310, 660, 902, 968 is 18454920.

2. How to calculate the LCM of 310, 660, 902, 968?

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 310, 660, 902, 968.

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}.