Given numbers are 706,726,584,638,676

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

The LCM of 706,726,584,638,676 is 366757395576.

Find LCM of 706,726,584,638,676 with Prime Factorization

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

2 x 2 x 11 x 353 x 33 x 146 x 29 x 169 = 366757395576

Therefore, the lowest common multiple of 706,726,584,638,676 is 366757395576.

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.

706 x 726 x 584 x 638 x 676 = 129098603242752

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.

706 : 1, 2, 353, 706

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

584 : 1, 2, 4, 8, 73, 146, 292, 584

638 : 1, 2, 11, 22, 29, 58, 319, 638

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 706,726,584,638,676, is 2.

Now, the common factors can be found like this.

706:2x 353

726:2x 3x 11x 11

584:2x 2x 2x 73

638:2x 11x 29

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 129098603242752/(2x176)

LCM = 129098603242752/352

LCM = 366757395576

Thus, we can understand that the LCM of 706,726,584,638,676 is 366757395576.

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

• LCM of 305, 410, 450, 433, 858
• LCM of 570, 971, 952, 880, 457
• LCM of 402, 745, 148, 538, 493
• LCM of 329, 117, 658, 943, 594
• LCM of 553, 199, 124, 110, 834

1. What is the LCM of 706, 726, 584, 638, 676?

Answer: LCM of 706, 726, 584, 638, 676 is 366757395576.

2. How to calculate the LCM of 706, 726, 584, 638, 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 706, 726, 584, 638, 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}.