Given numbers are 430,317,700,920,514

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

The LCM of 430,317,700,920,514 is 112801977400.

Find LCM of 430,317,700,920,514 with Prime Factorization

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

2 x 2 x 5 x 43 x 317 x 35 x 46 x 257 = 112801977400

Therefore, the lowest common multiple of 430,317,700,920,514 is 112801977400.

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.

430 x 317 x 700 x 920 x 514 = 45120790960000

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

317 : 1, 317

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,317,700,920,514, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

317:317

700:2x 2x 5x 5x 7

920:2x 2x 2x 5x 23

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 2x 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 45120790960000/(1x400)

LCM = 45120790960000/400

LCM = 112801977400

Thus, we can understand that the LCM of 430,317,700,920,514 is 112801977400.

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

• LCM of 598, 310, 963, 248, 992
• LCM of 502, 208, 629, 991, 108
• LCM of 628, 440, 875, 663, 153
• LCM of 759, 133, 648, 663, 839
• LCM of 521, 185, 484, 301, 110

1. What is the LCM of 430, 317, 700, 920, 514?

Answer: LCM of 430, 317, 700, 920, 514 is 112801977400.

2. How to calculate the LCM of 430, 317, 700, 920, 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 430, 317, 700, 920, 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}.