Given numbers are 681,900,414,112,236

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

The LCM of 681,900,414,112,236 is 7762582800.

Find LCM of 681,900,414,112,236 with Prime Factorization

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

2 x 2 x 3 x 3 x 227 x 25 x 23 x 28 x 59 = 7762582800

Therefore, the lowest common multiple of 681,900,414,112,236 is 7762582800.

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.

681 x 900 x 414 x 112 x 236 = 6706871539200

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.

681 : 1, 3, 227, 681

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,900,414,112,236, is 1.

Now, the common factors can be found like this.

681:3x 227

900:2x 2x 3x 3x 5x 5

414:2x 3x 3x 23

112:2x 2x 2x 2x 7

236:2x 2x 59

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 6706871539200/(1x864)

LCM = 6706871539200/864

LCM = 7762582800

Thus, we can understand that the LCM of 681,900,414,112,236 is 7762582800.

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

• LCM of 874, 370, 423, 467, 118
• LCM of 826, 336, 105, 573, 914
• LCM of 595, 249, 736, 946, 550
• LCM of 762, 655, 923, 788, 267
• LCM of 710, 844, 668, 721, 815

1. What is the LCM of 681, 900, 414, 112, 236?

Answer: LCM of 681, 900, 414, 112, 236 is 7762582800.

2. How to calculate the LCM of 681, 900, 414, 112, 236?

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 681, 900, 414, 112, 236.

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}.