Given numbers are 738,858,817,480

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

The LCM of 738,858,817,480 is 6897702240.

Find LCM of 738,858,817,480 with Prime Factorization

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

2 x 3 x 123 x 143 x 817 x 80 = 6897702240

Therefore, the lowest common multiple of 738,858,817,480 is 6897702240.

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.

738 x 858 x 817 x 480 = 248317280640

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

817 : 1, 19, 43, 817

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,858,817,480, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

858:2x 3x 11x 13

817:19x 43

480:2x 2x 2x 2x 2x 3x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 248317280640/(1x36)

LCM = 248317280640/36

LCM = 6897702240

Thus, we can understand that the LCM of 738,858,817,480 is 6897702240.

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

• LCM of 499, 525, 224, 284
• LCM of 414, 535, 494, 147
• LCM of 404, 757, 338, 431
• LCM of 366, 101, 399, 581
• LCM of 468, 545, 405, 882

1. What is the LCM of 738, 858, 817, 480?

Answer: LCM of 738, 858, 817, 480 is 6897702240.

2. How to calculate the LCM of 738, 858, 817, 480?

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 738, 858, 817, 480.

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}.