Given numbers are 278,146,315,796,338

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

The LCM of 278,146,315,796,338 is 429979733820.

Find LCM of 278,146,315,796,338 with Prime Factorization

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

2 x 139 x 73 x 315 x 398 x 169 = 429979733820

Therefore, the lowest common multiple of 278,146,315,796,338 is 429979733820.

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 146 x 315 x 796 x 338 = 3439837870560

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

146 : 1, 2, 73, 146

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

796 : 1, 2, 4, 199, 398, 796

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,146,315,796,338, is 1.

Now, the common factors can be found like this.

278:2x 139

146:2x 73

315:3x 3x 5x 7

796:2x 2x 199

338:2x 13x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3439837870560/(1x8)

LCM = 3439837870560/8

LCM = 429979733820

Thus, we can understand that the LCM of 278,146,315,796,338 is 429979733820.

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

• LCM of 397, 772, 515, 434, 311
• LCM of 640, 152, 756, 870, 832
• LCM of 146, 300, 867, 154, 526
• LCM of 707, 346, 321, 608, 806
• LCM of 417, 279, 785, 239, 678

1. What is the LCM of 278, 146, 315, 796, 338?

Answer: LCM of 278, 146, 315, 796, 338 is 429979733820.

2. How to calculate the LCM of 278, 146, 315, 796, 338?

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, 146, 315, 796, 338.

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}.