Given numbers are 840,242,656,380

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

The LCM of 840,242,656,380 is 158355120.

Find LCM of 840,242,656,380 with Prime Factorization

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

2 x 2 x 2 x 5 x 21 x 121 x 82 x 19 = 158355120

Therefore, the lowest common multiple of 840,242,656,380 is 158355120.

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.

840 x 242 x 656 x 380 = 50673638400

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

242 : 1, 2, 11, 22, 121, 242

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,242,656,380, is 2.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

242:2x 11x 11

656:2x 2x 2x 2x 41

380:2x 2x 5x 19

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 5 = 160

Therefore, the value for common factors is 160.

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 = 50673638400/(2x160)

LCM = 50673638400/320

LCM = 158355120

Thus, we can understand that the LCM of 840,242,656,380 is 158355120.

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

• LCM of 361, 815, 766, 850
• LCM of 523, 747, 516, 197
• LCM of 256, 515, 270, 110
• LCM of 219, 107, 771, 686
• LCM of 741, 442, 178, 169

1. What is the LCM of 840, 242, 656, 380?

Answer: LCM of 840, 242, 656, 380 is 158355120.

2. How to calculate the LCM of 840, 242, 656, 380?

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 840, 242, 656, 380.

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}.