Given numbers are 430,339,716,500,743

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

The LCM of 430,339,716,500,743 is 969348634500.

Find LCM of 430,339,716,500,743 with Prime Factorization

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

2 x 2 x 5 x 43 x 339 x 179 x 25 x 743 = 969348634500

Therefore, the lowest common multiple of 430,339,716,500,743 is 969348634500.

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.

430 x 339 x 716 x 500 x 743 = 38773945380000

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

339 : 1, 3, 113, 339

716 : 1, 2, 4, 179, 358, 716

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,339,716,500,743, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

339:3x 113

716:2x 2x 179

500:2x 2x 5x 5x 5

743:743

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 5 = 40

Therefore, the value for common factors is 40.

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 = 38773945380000/(1x40)

LCM = 38773945380000/40

LCM = 969348634500

Thus, we can understand that the LCM of 430,339,716,500,743 is 969348634500.

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

• LCM of 764, 301, 746, 910, 474
• LCM of 656, 299, 939, 672, 721
• LCM of 132, 420, 156, 129, 898
• LCM of 394, 148, 659, 556, 526
• LCM of 566, 275, 580, 439, 223

1. What is the LCM of 430, 339, 716, 500, 743?

Answer: LCM of 430, 339, 716, 500, 743 is 969348634500.

2. How to calculate the LCM of 430, 339, 716, 500, 743?

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 430, 339, 716, 500, 743.

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}.