Given numbers are 755,414,694,916

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

The LCM of 755,414,694,916 is 49675499820.

Find LCM of 755,414,694,916 with Prime Factorization

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

2 x 755 x 207 x 347 x 458 = 49675499820

Therefore, the lowest common multiple of 755,414,694,916 is 49675499820.

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.

755 x 414 x 694 x 916 = 198701999280

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.

755 : 1, 5, 151, 755

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

694 : 1, 2, 347, 694

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,414,694,916, is 1.

Now, the common factors can be found like this.

755:5x 151

414:2x 3x 3x 23

694:2x 347

916:2x 2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 198701999280/(1x4)

LCM = 198701999280/4

LCM = 49675499820

Thus, we can understand that the LCM of 755,414,694,916 is 49675499820.

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

• LCM of 170, 223, 655, 183
• LCM of 213, 767, 398, 231
• LCM of 622, 842, 555, 208
• LCM of 656, 811, 798, 543
• LCM of 350, 921, 112, 298

1. What is the LCM of 755, 414, 694, 916?

Answer: LCM of 755, 414, 694, 916 is 49675499820.

2. How to calculate the LCM of 755, 414, 694, 916?

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 755, 414, 694, 916.

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}.