Given numbers are 843,920,760,414

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

The LCM of 843,920,760,414 is 44206920.

Find LCM of 843,920,760,414 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 281 x 1 x 19 x 3 = 44206920

Therefore, the lowest common multiple of 843,920,760,414 is 44206920.

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.

843 x 920 x 760 x 414 = 244022198400

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.

843 : 1, 3, 281, 843

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,920,760,414, is 1.

Now, the common factors can be found like this.

843:3x 281

920:2x 2x 2x 5x 23

760:2x 2x 2x 5x 19

414:2x 3x 3x 23

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 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 244022198400/(1x5520)

LCM = 244022198400/5520

LCM = 44206920

Thus, we can understand that the LCM of 843,920,760,414 is 44206920.

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

• LCM of 236, 175, 993, 300
• LCM of 591, 310, 620, 345
• LCM of 670, 882, 871, 939
• LCM of 651, 281, 353, 375
• LCM of 789, 371, 542, 440

1. What is the LCM of 843, 920, 760, 414?

Answer: LCM of 843, 920, 760, 414 is 44206920.

2. How to calculate the LCM of 843, 920, 760, 414?

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 843, 920, 760, 414.

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}.