Given numbers are 798,628,570,424,171

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

The LCM of 798,628,570,424,171 is 398409480.

Find LCM of 798,628,570,424,171 with Prime Factorization

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

2 x 2 x 3 x 19 x 7 x 157 x 5 x 106 x 3 = 398409480

Therefore, the lowest common multiple of 798,628,570,424,171 is 398409480.

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.

798 x 628 x 570 x 424 x 171 = 20710918408320

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

424 : 1, 2, 4, 8, 53, 106, 212, 424

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 798,628,570,424,171, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

628:2x 2x 157

570:2x 3x 5x 19

424:2x 2x 2x 53

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 2x 3x 3x 19x 19 = 51984

Therefore, the value for common factors is 51984.

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 = 20710918408320/(1x51984)

LCM = 20710918408320/51984

LCM = 398409480

Thus, we can understand that the LCM of 798,628,570,424,171 is 398409480.

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

• LCM of 906, 358, 868, 167, 897
• LCM of 950, 666, 840, 432, 113
• LCM of 556, 552, 620, 120, 648
• LCM of 579, 412, 823, 417, 910
• LCM of 295, 632, 654, 756, 690

1. What is the LCM of 798, 628, 570, 424, 171?

Answer: LCM of 798, 628, 570, 424, 171 is 398409480.

2. How to calculate the LCM of 798, 628, 570, 424, 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 798, 628, 570, 424, 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}.