Given numbers are 438,104,414,354,747

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

The LCM of 438,104,414,354,747 is 7695850968.

Find LCM of 438,104,414,354,747 with Prime Factorization

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

2 x 3 x 3 x 73 x 52 x 23 x 59 x 83 = 7695850968

Therefore, the lowest common multiple of 438,104,414,354,747 is 7695850968.

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.

438 x 104 x 414 x 354 x 747 = 4986911427264

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,104,414,354,747, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

104:2x 2x 2x 13

414:2x 3x 3x 23

354:2x 3x 59

747:3x 3x 83

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 = 4986911427264/(1x648)

LCM = 4986911427264/648

LCM = 7695850968

Thus, we can understand that the LCM of 438,104,414,354,747 is 7695850968.

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

• LCM of 899, 626, 697, 939, 783
• LCM of 777, 510, 379, 755, 281
• LCM of 578, 778, 731, 103, 860
• LCM of 551, 553, 525, 921, 191
• LCM of 695, 234, 733, 936, 703

1. What is the LCM of 438, 104, 414, 354, 747?

Answer: LCM of 438, 104, 414, 354, 747 is 7695850968.

2. How to calculate the LCM of 438, 104, 414, 354, 747?

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 438, 104, 414, 354, 747.

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}.