Given numbers are 840,409,296,204

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

The LCM of 840,409,296,204 is 216099240.

Find LCM of 840,409,296,204 with Prime Factorization

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

2 x 2 x 2 x 3 x 35 x 409 x 37 x 17 = 216099240

Therefore, the lowest common multiple of 840,409,296,204 is 216099240.

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 409 x 296 x 204 = 20745527040

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

409 : 1, 409

296 : 1, 2, 4, 8, 37, 74, 148, 296

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,409,296,204, is 1.

Now, the common factors can be found like this.

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

409:409

296:2x 2x 2x 37

204:2x 2x 3x 17

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 3 = 96

Therefore, the value for common factors is 96.

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 = 20745527040/(1x96)

LCM = 20745527040/96

LCM = 216099240

Thus, we can understand that the LCM of 840,409,296,204 is 216099240.

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

• LCM of 314, 764, 193, 525
• LCM of 389, 977, 694, 443
• LCM of 410, 968, 941, 927
• LCM of 311, 333, 828, 654
• LCM of 339, 162, 342, 614

1. What is the LCM of 840, 409, 296, 204?

Answer: LCM of 840, 409, 296, 204 is 216099240.

2. How to calculate the LCM of 840, 409, 296, 204?

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, 409, 296, 204.

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}.