Given numbers are 570,700,306,690

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

The LCM of 570,700,306,690 is 46802700.

Find LCM of 570,700,306,690 with Prime Factorization

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

2 x 3 x 5 x 19 x 70 x 51 x 23 = 46802700

Therefore, the lowest common multiple of 570,700,306,690 is 46802700.

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 700 x 306 x 690 = 84244860000

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,700,306,690, is 2.

Now, the common factors can be found like this.

570:2x 3x 5x 19

700:2x 2x 5x 5x 7

306:2x 3x 3x 17

690:2x 3x 5x 23

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 84244860000/(2x900)

LCM = 84244860000/1800

LCM = 46802700

Thus, we can understand that the LCM of 570,700,306,690 is 46802700.

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

• LCM of 552, 163, 514, 492
• LCM of 237, 759, 182, 870
• LCM of 788, 756, 378, 227
• LCM of 151, 659, 834, 712
• LCM of 829, 269, 804, 455

1. What is the LCM of 570, 700, 306, 690?

Answer: LCM of 570, 700, 306, 690 is 46802700.

2. How to calculate the LCM of 570, 700, 306, 690?

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, 700, 306, 690.

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}.