Given numbers are 414,759,736,721,788

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

The LCM of 414,759,736,721,788 is 10349383968.

Find LCM of 414,759,736,721,788 with Prime Factorization

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

2 x 2 x 3 x 23 x 3 x 11 x 8 x 721 x 197 = 10349383968

Therefore, the lowest common multiple of 414,759,736,721,788 is 10349383968.

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 759 x 736 x 721 x 788 = 131395778857728

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

721 : 1, 7, 103, 721

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,759,736,721,788, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

759:3x 11x 23

736:2x 2x 2x 2x 2x 23

721:7x 103

788:2x 2x 197

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 23x 23 = 12696

Therefore, the value for common factors is 12696.

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 = 131395778857728/(1x12696)

LCM = 131395778857728/12696

LCM = 10349383968

Thus, we can understand that the LCM of 414,759,736,721,788 is 10349383968.

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

• LCM of 118, 401, 223, 153, 200
• LCM of 894, 155, 748, 758, 633
• LCM of 878, 664, 294, 776, 393
• LCM of 993, 405, 367, 623, 941
• LCM of 158, 931, 462, 117, 681

1. What is the LCM of 414, 759, 736, 721, 788?

Answer: LCM of 414, 759, 736, 721, 788 is 10349383968.

2. How to calculate the LCM of 414, 759, 736, 721, 788?

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, 759, 736, 721, 788.

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}.