Given numbers are 378,672,776,454,460

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

The LCM of 378,672,776,454,460 is 15314654880.

Find LCM of 378,672,776,454,460 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 9 x 4 x 97 x 227 x 115 = 15314654880

Therefore, the lowest common multiple of 378,672,776,454,460 is 15314654880.

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 672 x 776 x 454 x 460 = 41165792317440

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

776 : 1, 2, 4, 8, 97, 194, 388, 776

454 : 1, 2, 227, 454

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,672,776,454,460, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

672:2x 2x 2x 2x 2x 3x 7

776:2x 2x 2x 97

454:2x 227

460:2x 2x 5x 23

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 2x 2x 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 41165792317440/(2x1344)

LCM = 41165792317440/2688

LCM = 15314654880

Thus, we can understand that the LCM of 378,672,776,454,460 is 15314654880.

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

• LCM of 293, 843, 333, 885, 156
• LCM of 403, 546, 795, 580, 813
• LCM of 676, 545, 606, 296, 838
• LCM of 194, 569, 852, 833, 892
• LCM of 678, 723, 324, 114, 160

1. What is the LCM of 378, 672, 776, 454, 460?

Answer: LCM of 378, 672, 776, 454, 460 is 15314654880.

2. How to calculate the LCM of 378, 672, 776, 454, 460?

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, 672, 776, 454, 460.

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}.