Given numbers are 438,728,734,171,293

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

The LCM of 438,728,734,171,293 is 977201296344.

Find LCM of 438,728,734,171,293 with Prime Factorization

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

2 x 3 x 73 x 364 x 367 x 57 x 293 = 977201296344

Therefore, the lowest common multiple of 438,728,734,171,293 is 977201296344.

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.

438 x 728 x 734 x 171 x 293 = 11726415556128

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

734 : 1, 2, 367, 734

171 : 1, 3, 9, 19, 57, 171

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,728,734,171,293, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

728:2x 2x 2x 7x 13

734:2x 367

171:3x 3x 19

293:293

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 3 = 12

Therefore, the value for common factors is 12.

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 = 11726415556128/(1x12)

LCM = 11726415556128/12

LCM = 977201296344

Thus, we can understand that the LCM of 438,728,734,171,293 is 977201296344.

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

• LCM of 121, 998, 551, 469, 856
• LCM of 655, 957, 240, 485, 248
• LCM of 580, 788, 182, 360, 141
• LCM of 916, 383, 485, 982, 402
• LCM of 275, 996, 119, 301, 669

1. What is the LCM of 438, 728, 734, 171, 293?

Answer: LCM of 438, 728, 734, 171, 293 is 977201296344.

2. How to calculate the LCM of 438, 728, 734, 171, 293?

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 438, 728, 734, 171, 293.

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}.