Given numbers are 676,674,689,878

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

The LCM of 676,674,689,878 is 5300501804.

Find LCM of 676,674,689,878 with Prime Factorization

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

2 x 13 x 26 x 337 x 53 x 439 = 5300501804

Therefore, the lowest common multiple of 676,674,689,878 is 5300501804.

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.

676 x 674 x 689 x 878 = 275626093808

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.

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

674 : 1, 2, 337, 674

689 : 1, 13, 53, 689

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,674,689,878, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

674:2x 337

689:13x 53

878:2x 439

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 13 = 52

Therefore, the value for common factors is 52.

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 = 275626093808/(1x52)

LCM = 275626093808/52

LCM = 5300501804

Thus, we can understand that the LCM of 676,674,689,878 is 5300501804.

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

• LCM of 756, 886, 723, 806
• LCM of 189, 466, 226, 288
• LCM of 387, 738, 475, 476
• LCM of 625, 514, 720, 227
• LCM of 431, 534, 168, 422

1. What is the LCM of 676, 674, 689, 878?

Answer: LCM of 676, 674, 689, 878 is 5300501804.

2. How to calculate the LCM of 676, 674, 689, 878?

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 676, 674, 689, 878.

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}.