Given numbers are 684,627,676,319,149

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

The LCM of 684,627,676,319,149 is 5494393476.

Find LCM of 684,627,676,319,149 with Prime Factorization

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

2 x 2 x 3 x 11 x 19 x 3 x 1 x 169 x 29 x 149 = 5494393476

Therefore, the lowest common multiple of 684,627,676,319,149 is 5494393476.

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.

684 x 627 x 676 x 319 x 149 = 13779938837808

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

627 : 1, 3, 11, 19, 33, 57, 209, 627

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

319 : 1, 11, 29, 319

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,627,676,319,149, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

627:3x 11x 19

676:2x 2x 13x 13

319:11x 29

149:149

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 3x 11x 19 = 2508

Therefore, the value for common factors is 2508.

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 = 13779938837808/(1x2508)

LCM = 13779938837808/2508

LCM = 5494393476

Thus, we can understand that the LCM of 684,627,676,319,149 is 5494393476.

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

• LCM of 531, 676, 633, 718, 746
• LCM of 530, 449, 523, 517, 843
• LCM of 858, 688, 499, 736, 322
• LCM of 324, 594, 907, 827, 916
• LCM of 551, 886, 433, 198, 511

1. What is the LCM of 684, 627, 676, 319, 149?

Answer: LCM of 684, 627, 676, 319, 149 is 5494393476.

2. How to calculate the LCM of 684, 627, 676, 319, 149?

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 684, 627, 676, 319, 149.

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}.