Given numbers are 712,497,814,540,375

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

The LCM of 712,497,814,540,375 is 486076437000.

Find LCM of 712,497,814,540,375 with Prime Factorization

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

2 x 2 x 3 x 5 x 178 x 497 x 407 x 9 x 25 = 486076437000

Therefore, the lowest common multiple of 712,497,814,540,375 is 486076437000.

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.

712 x 497 x 814 x 540 x 375 = 58329172440000

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

497 : 1, 7, 71, 497

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,497,814,540,375, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

497:7x 71

814:2x 11x 37

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

375:3x 5x 5x 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 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 58329172440000/(1x120)

LCM = 58329172440000/120

LCM = 486076437000

Thus, we can understand that the LCM of 712,497,814,540,375 is 486076437000.

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

• LCM of 261, 349, 963, 834, 189
• LCM of 348, 764, 835, 817, 492
• LCM of 934, 960, 229, 791, 752
• LCM of 358, 665, 728, 210, 383
• LCM of 707, 347, 856, 790, 710

1. What is the LCM of 712, 497, 814, 540, 375?

Answer: LCM of 712, 497, 814, 540, 375 is 486076437000.

2. How to calculate the LCM of 712, 497, 814, 540, 375?

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 712, 497, 814, 540, 375.

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}.