Given numbers are 698,278,283,204

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

The LCM of 698,278,283,204 is 2800637052.

Find LCM of 698,278,283,204 with Prime Factorization

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

2 x 349 x 139 x 283 x 102 = 2800637052

Therefore, the lowest common multiple of 698,278,283,204 is 2800637052.

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.

698 x 278 x 283 x 204 = 11202548208

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.

698 : 1, 2, 349, 698

278 : 1, 2, 139, 278

283 : 1, 283

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,278,283,204, is 1.

Now, the common factors can be found like this.

698:2x 349

278:2x 139

283:283

204:2x 2x 3x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11202548208/(1x4)

LCM = 11202548208/4

LCM = 2800637052

Thus, we can understand that the LCM of 698,278,283,204 is 2800637052.

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

• LCM of 975, 812, 840, 575
• LCM of 550, 814, 760, 869
• LCM of 213, 887, 842, 103
• LCM of 906, 431, 109, 632
• LCM of 628, 907, 825, 517

1. What is the LCM of 698, 278, 283, 204?

Answer: LCM of 698, 278, 283, 204 is 2800637052.

2. How to calculate the LCM of 698, 278, 283, 204?

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 698, 278, 283, 204.

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}.