Given numbers are 820,919,928,319,201

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

The LCM of 820,919,928,319,201 is 386550368160.

Find LCM of 820,919,928,319,201 with Prime Factorization

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

2 x 2 x 29 x 205 x 919 x 8 x 11 x 201 = 386550368160

Therefore, the lowest common multiple of 820,919,928,319,201 is 386550368160.

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.

820 x 919 x 928 x 319 x 201 = 44839842706560

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

919 : 1, 919

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

319 : 1, 11, 29, 319

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,919,928,319,201, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

919:919

928:2x 2x 2x 2x 2x 29

319:11x 29

201:3x 67

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 29 = 116

Therefore, the value for common factors is 116.

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 = 44839842706560/(1x116)

LCM = 44839842706560/116

LCM = 386550368160

Thus, we can understand that the LCM of 820,919,928,319,201 is 386550368160.

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

• LCM of 744, 473, 748, 910, 387
• LCM of 975, 421, 727, 402, 188
• LCM of 954, 582, 662, 626, 960
• LCM of 482, 248, 547, 565, 887
• LCM of 612, 427, 327, 504, 356

1. What is the LCM of 820, 919, 928, 319, 201?

Answer: LCM of 820, 919, 928, 319, 201 is 386550368160.

2. How to calculate the LCM of 820, 919, 928, 319, 201?

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 820, 919, 928, 319, 201.

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}.