Given numbers are 317,145,600,700

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

The LCM of 317,145,600,700 is 38610600.

Find LCM of 317,145,600,700 with Prime Factorization

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

2 x 2 x 5 x 5 x 317 x 29 x 6 x 7 = 38610600

Therefore, the lowest common multiple of 317,145,600,700 is 38610600.

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.

317 x 145 x 600 x 700 = 19305300000

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.

317 : 1, 317

145 : 1, 5, 29, 145

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,145,600,700, is 1.

Now, the common factors can be found like this.

317:317

145:5x 29

600:2x 2x 2x 3x 5x 5

700:2x 2x 5x 5x 7

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 5 = 500

Therefore, the value for common factors is 500.

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 = 19305300000/(1x500)

LCM = 19305300000/500

LCM = 38610600

Thus, we can understand that the LCM of 317,145,600,700 is 38610600.

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

• LCM of 613, 987, 317, 546
• LCM of 313, 268, 134, 267
• LCM of 487, 106, 854, 689
• LCM of 491, 318, 570, 787
• LCM of 399, 751, 451, 594

1. What is the LCM of 317, 145, 600, 700?

Answer: LCM of 317, 145, 600, 700 is 38610600.

2. How to calculate the LCM of 317, 145, 600, 700?

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 317, 145, 600, 700.

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}.