Given numbers are 414,252,372,726,681

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

The LCM of 414,252,372,726,681 is 4935160692.

Find LCM of 414,252,372,726,681 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 7 x 31 x 121 x 227 = 4935160692

Therefore, the lowest common multiple of 414,252,372,726,681 is 4935160692.

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.

414 x 252 x 372 x 726 x 681 = 19187904770496

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.

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

681 : 1, 3, 227, 681

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,252,372,726,681, is 3.

Now, the common factors can be found like this.

414:2x 3x 3x 23

252:2x 2x 3x 3x 7

372:2x 2x 3x 31

726:2x 3x 11x 11

681:3x 227

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 19187904770496/(3x1296)

LCM = 19187904770496/3888

LCM = 4935160692

Thus, we can understand that the LCM of 414,252,372,726,681 is 4935160692.

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

• LCM of 945, 991, 637, 342, 179
• LCM of 426, 795, 414, 268, 316
• LCM of 271, 304, 929, 645, 617
• LCM of 151, 753, 950, 768, 366
• LCM of 205, 948, 288, 276, 860

1. What is the LCM of 414, 252, 372, 726, 681?

Answer: LCM of 414, 252, 372, 726, 681 is 4935160692.

2. How to calculate the LCM of 414, 252, 372, 726, 681?

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 414, 252, 372, 726, 681.

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}.