Given numbers are 738,464,685,702,291

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

The LCM of 738,464,685,702,291 is 443681437680.

Find LCM of 738,464,685,702,291 with Prime Factorization

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

2 x 3 x 3 x 41 x 232 x 685 x 39 x 97 = 443681437680

Therefore, the lowest common multiple of 738,464,685,702,291 is 443681437680.

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 464 x 685 x 702 x 291 = 47917595269440

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

685 : 1, 5, 137, 685

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,464,685,702,291, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

464:2x 2x 2x 2x 29

685:5x 137

702:2x 3x 3x 3x 13

291:3x 97

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 47917595269440/(1x108)

LCM = 47917595269440/108

LCM = 443681437680

Thus, we can understand that the LCM of 738,464,685,702,291 is 443681437680.

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

• LCM of 125, 581, 408, 678, 461
• LCM of 792, 223, 960, 470, 940
• LCM of 428, 610, 209, 763, 316
• LCM of 851, 269, 851, 467, 917
• LCM of 381, 667, 572, 832, 499

1. What is the LCM of 738, 464, 685, 702, 291?

Answer: LCM of 738, 464, 685, 702, 291 is 443681437680.

2. How to calculate the LCM of 738, 464, 685, 702, 291?

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, 464, 685, 702, 291.

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}.