Given numbers are 516,716,414,943,645

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

The LCM of 516,716,414,943,645 is 1306488780.

Find LCM of 516,716,414,943,645 with Prime Factorization

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

2 x 2 x 3 x 23 x 43 x 1 x 179 x 3 x 41 x 5 = 1306488780

Therefore, the lowest common multiple of 516,716,414,943,645 is 1306488780.

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.

516 x 716 x 414 x 943 x 645 = 93032453046240

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

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

943 : 1, 23, 41, 943

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,716,414,943,645, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

716:2x 2x 179

414:2x 3x 3x 23

943:23x 41

645:3x 5x 43

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 23x 43 = 71208

Therefore, the value for common factors is 71208.

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 = 93032453046240/(1x71208)

LCM = 93032453046240/71208

LCM = 1306488780

Thus, we can understand that the LCM of 516,716,414,943,645 is 1306488780.

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

• LCM of 318, 554, 221, 975, 124
• LCM of 596, 880, 770, 533, 987
• LCM of 968, 375, 879, 340, 254
• LCM of 911, 972, 108, 914, 177
• LCM of 108, 602, 827, 707, 821

1. What is the LCM of 516, 716, 414, 943, 645?

Answer: LCM of 516, 716, 414, 943, 645 is 1306488780.

2. How to calculate the LCM of 516, 716, 414, 943, 645?

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 516, 716, 414, 943, 645.

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}.