Given numbers are 514,437,864

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

The LCM of 514,437,864 is 97034976.

Find LCM of 514,437,864 with Prime Factorization

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

2 x 257 x 437 x 432 = 97034976

Therefore, the lowest common multiple of 514,437,864 is 97034976.

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 437 x 864 = 194069952

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

437 : 1, 19, 23, 437

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,437,864, is 1.

Now, the common factors can be found like this.

514:2x 257

437:19x 23

864:2x 2x 2x 2x 2x 3x 3x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 194069952/(1x2)

LCM = 194069952/2

LCM = 97034976

Thus, we can understand that the LCM of 514,437,864 is 97034976.

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

• LCM of 134, 572, 921
• LCM of 354, 303, 107
• LCM of 440, 697, 896
• LCM of 682, 912, 824
• LCM of 457, 622, 289

1. What is the LCM of 514, 437, 864?

Answer: LCM of 514, 437, 864 is 97034976.

2. How to calculate the LCM of 514, 437, 864?

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, 437, 864.

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}.