Given numbers are 680,150,850,514

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

The LCM of 680,150,850,514 is 2621400.

Find LCM of 680,150,850,514 with Prime Factorization

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

2 x 5 x 5 x 17 x 4 x 3 x 1 x 257 = 2621400

Therefore, the lowest common multiple of 680,150,850,514 is 2621400.

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.

680 x 150 x 850 x 514 = 44563800000

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.

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,150,850,514, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

150:2x 3x 5x 5

850:2x 5x 5x 17

514:2x 257

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 5x 5x 5x 17 = 8500

Therefore, the value for common factors is 8500.

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 = 44563800000/(2x8500)

LCM = 44563800000/17000

LCM = 2621400

Thus, we can understand that the LCM of 680,150,850,514 is 2621400.

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

• LCM of 702, 101, 470, 665
• LCM of 646, 724, 505, 248
• LCM of 409, 391, 624, 588
• LCM of 973, 631, 197, 201
• LCM of 834, 443, 173, 659

1. What is the LCM of 680, 150, 850, 514?

Answer: LCM of 680, 150, 850, 514 is 2621400.

2. How to calculate the LCM of 680, 150, 850, 514?

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 680, 150, 850, 514.

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}.