Given numbers are 270,722,846,414,676

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

The LCM of 270,722,846,414,676 is 35613393660.

Find LCM of 270,722,846,414,676 with Prime Factorization

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

2 x 3 x 3 x 15 x 361 x 47 x 23 x 338 = 35613393660

Therefore, the lowest common multiple of 270,722,846,414,676 is 35613393660.

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.

270 x 722 x 846 x 414 x 676 = 46154958183360

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

722 : 1, 2, 19, 38, 361, 722

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 270,722,846,414,676, is 2.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

722:2x 19x 19

846:2x 3x 3x 47

414:2x 3x 3x 23

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 46154958183360/(2x648)

LCM = 46154958183360/1296

LCM = 35613393660

Thus, we can understand that the LCM of 270,722,846,414,676 is 35613393660.

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

• LCM of 596, 501, 549, 833, 665
• LCM of 255, 922, 399, 643, 464
• LCM of 736, 633, 157, 691, 398
• LCM of 808, 146, 725, 561, 513
• LCM of 217, 391, 146, 812, 359

1. What is the LCM of 270, 722, 846, 414, 676?

Answer: LCM of 270, 722, 846, 414, 676 is 35613393660.

2. How to calculate the LCM of 270, 722, 846, 414, 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 270, 722, 846, 414, 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}.