Given numbers are 452,382,772,720,343

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

The LCM of 452,382,772,720,343 is 1028716572240.

Find LCM of 452,382,772,720,343 with Prime Factorization

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

2 x 2 x 113 x 191 x 193 x 180 x 343 = 1028716572240

Therefore, the lowest common multiple of 452,382,772,720,343 is 1028716572240.

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.

452 x 382 x 772 x 720 x 343 = 32918930311680

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.

452 : 1, 2, 4, 113, 226, 452

382 : 1, 2, 191, 382

772 : 1, 2, 4, 193, 386, 772

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,382,772,720,343, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

382:2x 191

772:2x 2x 193

720:2x 2x 2x 2x 3x 3x 5

343:7x 7x 7

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 32918930311680/(1x32)

LCM = 32918930311680/32

LCM = 1028716572240

Thus, we can understand that the LCM of 452,382,772,720,343 is 1028716572240.

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

• LCM of 585, 405, 543, 885, 992
• LCM of 593, 313, 600, 710, 285
• LCM of 427, 860, 942, 475, 918
• LCM of 791, 566, 843, 857, 271
• LCM of 626, 355, 930, 131, 113

1. What is the LCM of 452, 382, 772, 720, 343?

Answer: LCM of 452, 382, 772, 720, 343 is 1028716572240.

2. How to calculate the LCM of 452, 382, 772, 720, 343?

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 452, 382, 772, 720, 343.

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}.