Given numbers are 378,286,432,978

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

The LCM of 378,286,432,978 is 70486416.

Find LCM of 378,286,432,978 with Prime Factorization

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

2 x 3 x 3 x 3 x 7 x 143 x 8 x 163 = 70486416

Therefore, the lowest common multiple of 378,286,432,978 is 70486416.

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.

378 x 286 x 432 x 978 = 45675197568

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.

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,286,432,978, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

286:2x 11x 13

432:2x 2x 2x 2x 3x 3x 3

978:2x 3x 163

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 45675197568/(2x324)

LCM = 45675197568/648

LCM = 70486416

Thus, we can understand that the LCM of 378,286,432,978 is 70486416.

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

• LCM of 923, 555, 624, 904
• LCM of 119, 848, 204, 296
• LCM of 712, 340, 651, 987
• LCM of 339, 330, 664, 280
• LCM of 805, 363, 699, 465

1. What is the LCM of 378, 286, 432, 978?

Answer: LCM of 378, 286, 432, 978 is 70486416.

2. How to calculate the LCM of 378, 286, 432, 978?

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 378, 286, 432, 978.

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}.