Given numbers are 398,742,686,520,273

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

The LCM of 398,742,686,520,273 is 5643488760.

Find LCM of 398,742,686,520,273 with Prime Factorization

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

2 x 7 x 13 x 199 x 53 x 49 x 20 x 3 = 5643488760

Therefore, the lowest common multiple of 398,742,686,520,273 is 5643488760.

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.

398 x 742 x 686 x 520 x 273 = 28759218720960

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.

398 : 1, 2, 199, 398

742 : 1, 2, 7, 14, 53, 106, 371, 742

686 : 1, 2, 7, 14, 49, 98, 343, 686

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,742,686,520,273, is 1.

Now, the common factors can be found like this.

398:2x 199

742:2x 7x 53

686:2x 7x 7x 7

520:2x 2x 2x 5x 13

273:3x 7x 13

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 7x 7x 13 = 5096

Therefore, the value for common factors is 5096.

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 = 28759218720960/(1x5096)

LCM = 28759218720960/5096

LCM = 5643488760

Thus, we can understand that the LCM of 398,742,686,520,273 is 5643488760.

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

• LCM of 234, 146, 484, 378, 992
• LCM of 546, 210, 700, 935, 819
• LCM of 590, 666, 626, 768, 670
• LCM of 832, 650, 186, 376, 237
• LCM of 930, 646, 754, 204, 806

1. What is the LCM of 398, 742, 686, 520, 273?

Answer: LCM of 398, 742, 686, 520, 273 is 5643488760.

2. How to calculate the LCM of 398, 742, 686, 520, 273?

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 398, 742, 686, 520, 273.

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}.