Given numbers are 694,230,270,720

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

The LCM of 694,230,270,720 is 17238960.

Find LCM of 694,230,270,720 with Prime Factorization

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

2 x 3 x 3 x 5 x 347 x 23 x 3 x 8 = 17238960

Therefore, the lowest common multiple of 694,230,270,720 is 17238960.

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.

694 x 230 x 270 x 720 = 31030128000

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.

694 : 1, 2, 347, 694

230 : 1, 2, 5, 10, 23, 46, 115, 230

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,230,270,720, is 2.

Now, the common factors can be found like this.

694:2x 347

230:2x 5x 23

270:2x 3x 3x 3x 5

720:2x 2x 2x 2x 3x 3x 5

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 = 31030128000/(2x900)

LCM = 31030128000/1800

LCM = 17238960

Thus, we can understand that the LCM of 694,230,270,720 is 17238960.

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

• LCM of 858, 613, 260, 569
• LCM of 858, 835, 817, 630
• LCM of 888, 242, 647, 835
• LCM of 467, 863, 956, 259
• LCM of 773, 568, 304, 335

1. What is the LCM of 694, 230, 270, 720?

Answer: LCM of 694, 230, 270, 720 is 17238960.

2. How to calculate the LCM of 694, 230, 270, 720?

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 694, 230, 270, 720.

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}.