Given numbers are 876,748,398,676

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

The LCM of 876,748,398,676 is 5509161372.

Find LCM of 876,748,398,676 with Prime Factorization

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

2 x 2 x 219 x 187 x 199 x 169 = 5509161372

Therefore, the lowest common multiple of 876,748,398,676 is 5509161372.

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.

876 x 748 x 398 x 676 = 176293163904

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.

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

398 : 1, 2, 199, 398

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,748,398,676, is 2.

Now, the common factors can be found like this.

876:2x 2x 3x 73

748:2x 2x 11x 17

398:2x 199

676:2x 2x 13x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 176293163904/(2x16)

LCM = 176293163904/32

LCM = 5509161372

Thus, we can understand that the LCM of 876,748,398,676 is 5509161372.

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

• LCM of 272, 213, 244, 314
• LCM of 674, 355, 663, 299
• LCM of 807, 648, 831, 355
• LCM of 760, 104, 955, 853
• LCM of 771, 287, 679, 317

1. What is the LCM of 876, 748, 398, 676?

Answer: LCM of 876, 748, 398, 676 is 5509161372.

2. How to calculate the LCM of 876, 748, 398, 676?

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 876, 748, 398, 676.

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}.