Given numbers are 893,312,814

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

The LCM of 893,312,814 is 113396712.

Find LCM of 893,312,814 with Prime Factorization

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

2 x 893 x 156 x 407 = 113396712

Therefore, the lowest common multiple of 893,312,814 is 113396712.

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.

893 x 312 x 814 = 226793424

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.

893 : 1, 19, 47, 893

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 893,312,814, is 1.

Now, the common factors can be found like this.

893:19x 47

312:2x 2x 2x 3x 13

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 = 226793424/(1x2)

LCM = 226793424/2

LCM = 113396712

Thus, we can understand that the LCM of 893,312,814 is 113396712.

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

• LCM of 402, 856, 342
• LCM of 158, 651, 783
• LCM of 404, 894, 239
• LCM of 325, 123, 111
• LCM of 757, 676, 533

1. What is the LCM of 893, 312, 814?

Answer: LCM of 893, 312, 814 is 113396712.

2. How to calculate the LCM of 893, 312, 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 893, 312, 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}.