Given numbers are 514,106,686,977

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

The LCM of 514,106,686,977 is 9129093862.

Find LCM of 514,106,686,977 with Prime Factorization

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

2 x 257 x 53 x 343 x 977 = 9129093862

Therefore, the lowest common multiple of 514,106,686,977 is 9129093862.

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.

514 x 106 x 686 x 977 = 36516375448

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.

514 : 1, 2, 257, 514

106 : 1, 2, 53, 106

686 : 1, 2, 7, 14, 49, 98, 343, 686

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,106,686,977, is 1.

Now, the common factors can be found like this.

514:2x 257

106:2x 53

686:2x 7x 7x 7

977:977

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 = 36516375448/(1x4)

LCM = 36516375448/4

LCM = 9129093862

Thus, we can understand that the LCM of 514,106,686,977 is 9129093862.

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

• LCM of 394, 583, 934, 596
• LCM of 848, 765, 283, 125
• LCM of 815, 299, 845, 882
• LCM of 834, 189, 857, 188
• LCM of 943, 203, 560, 983

1. What is the LCM of 514, 106, 686, 977?

Answer: LCM of 514, 106, 686, 977 is 9129093862.

2. How to calculate the LCM of 514, 106, 686, 977?

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 514, 106, 686, 977.

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}.