Given numbers are 398,291,676,513,876

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

The LCM of 398,291,676,513,876 is 488665559772.

Find LCM of 398,291,676,513,876 with Prime Factorization

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

2 x 2 x 3 x 199 x 97 x 169 x 171 x 73 = 488665559772

Therefore, the lowest common multiple of 398,291,676,513,876 is 488665559772.

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 291 x 676 x 513 x 876 = 35183920303584

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

291 : 1, 3, 97, 291

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,291,676,513,876, is 1.

Now, the common factors can be found like this.

398:2x 199

291:3x 97

676:2x 2x 13x 13

513:3x 3x 3x 19

876:2x 2x 3x 73

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 35183920303584/(1x72)

LCM = 35183920303584/72

LCM = 488665559772

Thus, we can understand that the LCM of 398,291,676,513,876 is 488665559772.

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

• LCM of 461, 862, 322, 900, 401
• LCM of 133, 810, 920, 711, 690
• LCM of 902, 800, 380, 616, 557
• LCM of 518, 567, 705, 724, 204
• LCM of 898, 682, 759, 699, 670

1. What is the LCM of 398, 291, 676, 513, 876?

Answer: LCM of 398, 291, 676, 513, 876 is 488665559772.

2. How to calculate the LCM of 398, 291, 676, 513, 876?

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, 291, 676, 513, 876.

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}.