Given numbers are 629,319,928,676,343

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

The LCM of 629,319,928,676,343 is 372196368544.

Find LCM of 629,319,928,676,343 with Prime Factorization

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

2 x 2 x 29 x 629 x 11 x 8 x 169 x 343 = 372196368544

Therefore, the lowest common multiple of 629,319,928,676,343 is 372196368544.

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.

629 x 319 x 928 x 676 x 343 = 43174778751104

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.

629 : 1, 17, 37, 629

319 : 1, 11, 29, 319

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,319,928,676,343, is 1.

Now, the common factors can be found like this.

629:17x 37

319:11x 29

928:2x 2x 2x 2x 2x 29

676:2x 2x 13x 13

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 29 = 116

Therefore, the value for common factors is 116.

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 = 43174778751104/(1x116)

LCM = 43174778751104/116

LCM = 372196368544

Thus, we can understand that the LCM of 629,319,928,676,343 is 372196368544.

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

• LCM of 611, 773, 150, 997, 226
• LCM of 865, 228, 991, 153, 983
• LCM of 991, 674, 527, 233, 332
• LCM of 210, 807, 764, 544, 295
• LCM of 885, 240, 943, 921, 336

1. What is the LCM of 629, 319, 928, 676, 343?

Answer: LCM of 629, 319, 928, 676, 343 is 372196368544.

2. How to calculate the LCM of 629, 319, 928, 676, 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 629, 319, 928, 676, 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}.