Given numbers are 878,368,340,382,378

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

The LCM of 878,368,340,382,378 is 495708580080.

Find LCM of 878,368,340,382,378 with Prime Factorization

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

2 x 2 x 439 x 92 x 85 x 191 x 189 = 495708580080

Therefore, the lowest common multiple of 878,368,340,382,378 is 495708580080.

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.

878 x 368 x 340 x 382 x 378 = 15862674562560

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.

878 : 1, 2, 439, 878

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

382 : 1, 2, 191, 382

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,368,340,382,378, is 2.

Now, the common factors can be found like this.

878:2x 439

368:2x 2x 2x 2x 23

340:2x 2x 5x 17

382:2x 191

378:2x 3x 3x 3x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 15862674562560/(2x16)

LCM = 15862674562560/32

LCM = 495708580080

Thus, we can understand that the LCM of 878,368,340,382,378 is 495708580080.

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

• LCM of 160, 580, 228, 510, 481
• LCM of 642, 759, 967, 273, 493
• LCM of 572, 917, 985, 536, 882
• LCM of 386, 743, 800, 968, 707
• LCM of 454, 413, 603, 826, 971

1. What is the LCM of 878, 368, 340, 382, 378?

Answer: LCM of 878, 368, 340, 382, 378 is 495708580080.

2. How to calculate the LCM of 878, 368, 340, 382, 378?

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 878, 368, 340, 382, 378.

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}.