Given numbers are 628,974,382,266,171

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

The LCM of 628,974,382,266,171 is 69922367172.

Find LCM of 628,974,382,266,171 with Prime Factorization

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

2 x 19 x 314 x 487 x 191 x 7 x 9 = 69922367172

Therefore, the lowest common multiple of 628,974,382,266,171 is 69922367172.

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 974 x 382 x 266 x 171 = 10628199810144

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

974 : 1, 2, 487, 974

382 : 1, 2, 191, 382

266 : 1, 2, 7, 14, 19, 38, 133, 266

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,974,382,266,171, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

974:2x 487

382:2x 191

266:2x 7x 19

171:3x 3x 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 2x 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 10628199810144/(1x152)

LCM = 10628199810144/152

LCM = 69922367172

Thus, we can understand that the LCM of 628,974,382,266,171 is 69922367172.

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

• LCM of 330, 476, 127, 420, 509
• LCM of 513, 674, 947, 115, 556
• LCM of 345, 897, 355, 117, 288
• LCM of 226, 434, 470, 919, 995
• LCM of 709, 980, 203, 275, 602

1. What is the LCM of 628, 974, 382, 266, 171?

Answer: LCM of 628, 974, 382, 266, 171 is 69922367172.

2. How to calculate the LCM of 628, 974, 382, 266, 171?

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, 974, 382, 266, 171.

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}.