Given numbers are 426,219,204,674

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

The LCM of 426,219,204,674 is 356320884.

Find LCM of 426,219,204,674 with Prime Factorization

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

2 x 3 x 71 x 73 x 34 x 337 = 356320884

Therefore, the lowest common multiple of 426,219,204,674 is 356320884.

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.

426 x 219 x 204 x 674 = 12827551824

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

219 : 1, 3, 73, 219

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,219,204,674, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

219:3x 73

204:2x 2x 3x 17

674:2x 337

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 12827551824/(1x36)

LCM = 12827551824/36

LCM = 356320884

Thus, we can understand that the LCM of 426,219,204,674 is 356320884.

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

• LCM of 879, 236, 897, 344
• LCM of 174, 990, 954, 799
• LCM of 259, 685, 866, 701
• LCM of 273, 671, 943, 144
• LCM of 414, 601, 967, 870

1. What is the LCM of 426, 219, 204, 674?

Answer: LCM of 426, 219, 204, 674 is 356320884.

2. How to calculate the LCM of 426, 219, 204, 674?

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 426, 219, 204, 674.

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}.