Given numbers are 617,110,888,218,949

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

The LCM of 617,110,888,218,949 is 3117120057480.

Find LCM of 617,110,888,218,949 with Prime Factorization

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

2 x 617 x 55 x 444 x 109 x 949 = 3117120057480

Therefore, the lowest common multiple of 617,110,888,218,949 is 3117120057480.

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.

617 x 110 x 888 x 218 x 949 = 12468480229920

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.

617 : 1, 617

110 : 1, 2, 5, 10, 11, 22, 55, 110

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

218 : 1, 2, 109, 218

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,110,888,218,949, is 1.

Now, the common factors can be found like this.

617:617

110:2x 5x 11

888:2x 2x 2x 3x 37

218:2x 109

949:13x 73

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 = 12468480229920/(1x4)

LCM = 12468480229920/4

LCM = 3117120057480

Thus, we can understand that the LCM of 617,110,888,218,949 is 3117120057480.

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

• LCM of 729, 980, 906, 139, 231
• LCM of 452, 788, 879, 284, 872
• LCM of 676, 871, 834, 982, 112
• LCM of 517, 799, 742, 747, 262
• LCM of 859, 871, 213, 526, 122

1. What is the LCM of 617, 110, 888, 218, 949?

Answer: LCM of 617, 110, 888, 218, 949 is 3117120057480.

2. How to calculate the LCM of 617, 110, 888, 218, 949?

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 617, 110, 888, 218, 949.

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}.