Given numbers are 728,787,814

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

The LCM of 728,787,814 is 233184952.

Find LCM of 728,787,814 with Prime Factorization

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

2 x 364 x 787 x 407 = 233184952

Therefore, the lowest common multiple of 728,787,814 is 233184952.

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.

728 x 787 x 814 = 466369904

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

787 : 1, 787

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,787,814, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

787:787

814:2x 11x 37

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 = 466369904/(1x2)

LCM = 466369904/2

LCM = 233184952

Thus, we can understand that the LCM of 728,787,814 is 233184952.

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

• LCM of 375, 840, 201
• LCM of 608, 764, 184
• LCM of 864, 559, 210
• LCM of 402, 435, 112
• LCM of 364, 956, 212

1. What is the LCM of 728, 787, 814?

Answer: LCM of 728, 787, 814 is 233184952.

2. How to calculate the LCM of 728, 787, 814?

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 728, 787, 814.

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}.