Given numbers are 628,252,888,968,198

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

The LCM of 628,252,888,968,198 is 354256056.

Find LCM of 628,252,888,968,198 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 157 x 7 x 37 x 1 x 11 = 354256056

Therefore, the lowest common multiple of 628,252,888,968,198 is 354256056.

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.

628 x 252 x 888 x 968 x 198 = 26934796449792

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.

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,252,888,968,198, is 2.

Now, the common factors can be found like this.

628:2x 2x 157

252:2x 2x 3x 3x 7

888:2x 2x 2x 3x 37

968:2x 2x 2x 11x 11

198:2x 3x 3x 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 2x 2x 2x 2x 3x 3x 3x 11 = 38016

Therefore, the value for common factors is 38016.

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 = 26934796449792/(2x38016)

LCM = 26934796449792/76032

LCM = 354256056

Thus, we can understand that the LCM of 628,252,888,968,198 is 354256056.

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

• LCM of 247, 281, 401, 515, 771
• LCM of 910, 320, 196, 111, 154
• LCM of 217, 150, 210, 193, 574
• LCM of 638, 373, 445, 786, 380
• LCM of 569, 331, 308, 865, 969

1. What is the LCM of 628, 252, 888, 968, 198?

Answer: LCM of 628, 252, 888, 968, 198 is 354256056.

2. How to calculate the LCM of 628, 252, 888, 968, 198?

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 628, 252, 888, 968, 198.

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}.