Given numbers are 378,298,560,637,827

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

The LCM of 378,298,560,637,827 is 169544990160.

Find LCM of 378,298,560,637,827 with Prime Factorization

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

2 x 7 x 27 x 149 x 40 x 91 x 827 = 169544990160

Therefore, the lowest common multiple of 378,298,560,637,827 is 169544990160.

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 298 x 560 x 637 x 827 = 33230818071360

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

298 : 1, 2, 149, 298

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

637 : 1, 7, 13, 49, 91, 637

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,298,560,637,827, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

298:2x 149

560:2x 2x 2x 2x 5x 7

637:7x 7x 13

827:827

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 33230818071360/(1x196)

LCM = 33230818071360/196

LCM = 169544990160

Thus, we can understand that the LCM of 378,298,560,637,827 is 169544990160.

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

• LCM of 297, 803, 971, 280, 720
• LCM of 450, 145, 798, 208, 624
• LCM of 297, 968, 527, 102, 498
• LCM of 208, 824, 288, 880, 324
• LCM of 862, 113, 515, 379, 894

1. What is the LCM of 378, 298, 560, 637, 827?

Answer: LCM of 378, 298, 560, 637, 827 is 169544990160.

2. How to calculate the LCM of 378, 298, 560, 637, 827?

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, 298, 560, 637, 827.

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}.