Given numbers are 278,572,278,370,162

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

The LCM of 278,572,278,370,162 is 1191427380.

Find LCM of 278,572,278,370,162 with Prime Factorization

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

2 x 139 x 1 x 286 x 1 x 185 x 81 = 1191427380

Therefore, the lowest common multiple of 278,572,278,370,162 is 1191427380.

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 572 x 278 x 370 x 162 = 2649734493120

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

278 : 1, 2, 139, 278

370 : 1, 2, 5, 10, 37, 74, 185, 370

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,572,278,370,162, is 2.

Now, the common factors can be found like this.

278:2x 139

572:2x 2x 11x 13

278:2x 139

370:2x 5x 37

162:2x 3x 3x 3x 3

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 139 = 1112

Therefore, the value for common factors is 1112.

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 = 2649734493120/(2x1112)

LCM = 2649734493120/2224

LCM = 1191427380

Thus, we can understand that the LCM of 278,572,278,370,162 is 1191427380.

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

• LCM of 910, 352, 269, 877, 203
• LCM of 479, 361, 981, 826, 287
• LCM of 957, 591, 884, 441, 401
• LCM of 960, 897, 746, 592, 701
• LCM of 784, 693, 344, 234, 413

1. What is the LCM of 278, 572, 278, 370, 162?

Answer: LCM of 278, 572, 278, 370, 162 is 1191427380.

2. How to calculate the LCM of 278, 572, 278, 370, 162?

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, 572, 278, 370, 162.

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}.