Given numbers are 490,628,104,171

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

The LCM of 490,628,104,171 is 684061560.

Find LCM of 490,628,104,171 with Prime Factorization

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

2 x 2 x 245 x 157 x 26 x 171 = 684061560

Therefore, the lowest common multiple of 490,628,104,171 is 684061560.

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.

490 x 628 x 104 x 171 = 5472492480

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

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 490,628,104,171, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

628:2x 2x 157

104:2x 2x 2x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5472492480/(1x8)

LCM = 5472492480/8

LCM = 684061560

Thus, we can understand that the LCM of 490,628,104,171 is 684061560.

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

• LCM of 931, 799, 662, 711
• LCM of 519, 951, 323, 325
• LCM of 122, 435, 445, 444
• LCM of 583, 422, 825, 427
• LCM of 761, 219, 253, 588

1. What is the LCM of 490, 628, 104, 171?

Answer: LCM of 490, 628, 104, 171 is 684061560.

2. How to calculate the LCM of 490, 628, 104, 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 490, 628, 104, 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}.