Given numbers are 570,137,992,680,698

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

The LCM of 570,137,992,680,698 is 229800753120.

Find LCM of 570,137,992,680,698 with Prime Factorization

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

2 x 2 x 2 x 5 x 57 x 137 x 124 x 17 x 349 = 229800753120

Therefore, the lowest common multiple of 570,137,992,680,698 is 229800753120.

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.

570 x 137 x 992 x 680 x 698 = 36768120499200

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.

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

137 : 1, 137

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,137,992,680,698, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

137:137

992:2x 2x 2x 2x 2x 31

680:2x 2x 2x 5x 17

698:2x 349

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 5 = 160

Therefore, the value for common factors is 160.

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 = 36768120499200/(1x160)

LCM = 36768120499200/160

LCM = 229800753120

Thus, we can understand that the LCM of 570,137,992,680,698 is 229800753120.

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

• LCM of 139, 585, 162, 206, 456
• LCM of 123, 825, 826, 802, 151
• LCM of 695, 220, 831, 629, 239
• LCM of 933, 643, 251, 549, 315
• LCM of 589, 327, 587, 953, 910

1. What is the LCM of 570, 137, 992, 680, 698?

Answer: LCM of 570, 137, 992, 680, 698 is 229800753120.

2. How to calculate the LCM of 570, 137, 992, 680, 698?

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 570, 137, 992, 680, 698.

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}.