Given numbers are 278,350,824,206

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

The LCM of 278,350,824,206 is 20043800.

Find LCM of 278,350,824,206 with Prime Factorization

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

2 x 103 x 139 x 175 x 4 x 1 = 20043800

Therefore, the lowest common multiple of 278,350,824,206 is 20043800.

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.

278 x 350 x 824 x 206 = 16516091200

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.

278 : 1, 2, 139, 278

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

824 : 1, 2, 4, 8, 103, 206, 412, 824

206 : 1, 2, 103, 206

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,350,824,206, is 2.

Now, the common factors can be found like this.

278:2x 139

350:2x 5x 5x 7

824:2x 2x 2x 103

206:2x 103

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 103 = 412

Therefore, the value for common factors is 412.

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 = 16516091200/(2x412)

LCM = 16516091200/824

LCM = 20043800

Thus, we can understand that the LCM of 278,350,824,206 is 20043800.

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

• LCM of 342, 583, 414, 513
• LCM of 754, 537, 914, 277
• LCM of 915, 673, 583, 535
• LCM of 339, 406, 552, 238
• LCM of 836, 746, 571, 442

1. What is the LCM of 278, 350, 824, 206?

Answer: LCM of 278, 350, 824, 206 is 20043800.

2. How to calculate the LCM of 278, 350, 824, 206?

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 278, 350, 824, 206.

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}.