Given numbers are 892,306,814

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

The LCM of 892,306,814 is 55545732.

Find LCM of 892,306,814 with Prime Factorization

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

2 x 446 x 153 x 407 = 55545732

Therefore, the lowest common multiple of 892,306,814 is 55545732.

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.

892 x 306 x 814 = 222182928

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.

892 : 1, 2, 4, 223, 446, 892

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,306,814, is 2.

Now, the common factors can be found like this.

892:2x 2x 223

306:2x 3x 3x 17

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 = 222182928/(2x2)

LCM = 222182928/4

LCM = 55545732

Thus, we can understand that the LCM of 892,306,814 is 55545732.

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

• LCM of 725, 391, 920
• LCM of 552, 874, 189
• LCM of 700, 499, 668
• LCM of 385, 114, 203
• LCM of 422, 370, 127

1. What is the LCM of 892, 306, 814?

Answer: LCM of 892, 306, 814 is 55545732.

2. How to calculate the LCM of 892, 306, 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 892, 306, 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}.