Given numbers are 343,540,634,514,620

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

The LCM of 343,540,634,514,620 is 467780333580.

Find LCM of 343,540,634,514,620 with Prime Factorization

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

2 x 2 x 5 x 343 x 27 x 317 x 257 x 31 = 467780333580

Therefore, the lowest common multiple of 343,540,634,514,620 is 467780333580.

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.

343 x 540 x 634 x 514 x 620 = 37422426686400

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.

343 : 1, 7, 49, 343

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

634 : 1, 2, 317, 634

514 : 1, 2, 257, 514

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,540,634,514,620, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

540:2x 2x 3x 3x 3x 5

634:2x 317

514:2x 257

620:2x 2x 5x 31

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 5 = 80

Therefore, the value for common factors is 80.

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 = 37422426686400/(1x80)

LCM = 37422426686400/80

LCM = 467780333580

Thus, we can understand that the LCM of 343,540,634,514,620 is 467780333580.

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

• LCM of 161, 267, 250, 199, 765
• LCM of 246, 361, 799, 271, 326
• LCM of 654, 920, 642, 256, 651
• LCM of 731, 227, 439, 538, 832
• LCM of 978, 973, 617, 593, 137

1. What is the LCM of 343, 540, 634, 514, 620?

Answer: LCM of 343, 540, 634, 514, 620 is 467780333580.

2. How to calculate the LCM of 343, 540, 634, 514, 620?

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 343, 540, 634, 514, 620.

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}.