Given numbers are 517,467,715,338

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

The LCM of 517,467,715,338 is 408031910.

Find LCM of 517,467,715,338 with Prime Factorization

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

11 x 13 x 47 x 467 x 5 x 26 = 408031910

Therefore, the lowest common multiple of 517,467,715,338 is 408031910.

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.

517 x 467 x 715 x 338 = 58348563130

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.

517 : 1, 11, 47, 517

467 : 1, 467

715 : 1, 5, 11, 13, 55, 65, 143, 715

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,467,715,338, is 1.

Now, the common factors can be found like this.

517:11x 47

467:467

715:5x 11x 13

338:2x 13x 13

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 58348563130/(1x143)

LCM = 58348563130/143

LCM = 408031910

Thus, we can understand that the LCM of 517,467,715,338 is 408031910.

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

• LCM of 448, 819, 334, 523
• LCM of 333, 181, 463, 179
• LCM of 489, 752, 687, 383
• LCM of 461, 445, 807, 729
• LCM of 172, 734, 492, 181

1. What is the LCM of 517, 467, 715, 338?

Answer: LCM of 517, 467, 715, 338 is 408031910.

2. How to calculate the LCM of 517, 467, 715, 338?

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 517, 467, 715, 338.

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}.