Given numbers are 317,473,540,749,596

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

The LCM of 317,473,540,749,596 is 9036125392140.

Find LCM of 317,473,540,749,596 with Prime Factorization

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

2 x 2 x 317 x 473 x 135 x 749 x 149 = 9036125392140

Therefore, the lowest common multiple of 317,473,540,749,596 is 9036125392140.

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 473 x 540 x 749 x 596 = 36144501568560

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

473 : 1, 11, 43, 473

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

749 : 1, 7, 107, 749

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,473,540,749,596, is 1.

Now, the common factors can be found like this.

317:317

473:11x 43

540:2x 2x 3x 3x 3x 5

749:7x 107

596:2x 2x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 36144501568560/(1x4)

LCM = 36144501568560/4

LCM = 9036125392140

Thus, we can understand that the LCM of 317,473,540,749,596 is 9036125392140.

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

• LCM of 394, 811, 979, 274, 461
• LCM of 815, 963, 645, 259, 150
• LCM of 728, 232, 686, 918, 239
• LCM of 247, 507, 878, 963, 380
• LCM of 238, 558, 888, 505, 744

1. What is the LCM of 317, 473, 540, 749, 596?

Answer: LCM of 317, 473, 540, 749, 596 is 9036125392140.

2. How to calculate the LCM of 317, 473, 540, 749, 596?

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, 473, 540, 749, 596.

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}.