Given numbers are 892,104,299,138

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

The LCM of 892,104,299,138 is 1600248.

Find LCM of 892,104,299,138 with Prime Factorization

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

2 x 2 x 13 x 23 x 223 x 2 x 1 x 3 = 1600248

Therefore, the lowest common multiple of 892,104,299,138 is 1600248.

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 104 x 299 x 138 = 3827793216

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

299 : 1, 13, 23, 299

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,104,299,138, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

104:2x 2x 2x 13

299:13x 23

138:2x 3x 23

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

2x 2x 2x 13x 23 = 2392

Therefore, the value for common factors is 2392.

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 = 3827793216/(1x2392)

LCM = 3827793216/2392

LCM = 1600248

Thus, we can understand that the LCM of 892,104,299,138 is 1600248.

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

• LCM of 871, 633, 964, 659
• LCM of 804, 782, 394, 121
• LCM of 113, 623, 898, 390
• LCM of 225, 531, 900, 342
• LCM of 606, 123, 705, 636

1. What is the LCM of 892, 104, 299, 138?

Answer: LCM of 892, 104, 299, 138 is 1600248.

2. How to calculate the LCM of 892, 104, 299, 138?

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, 104, 299, 138.

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}.