Given numbers are 820,364,936,202

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

The LCM of 820,364,936,202 is 135659160.

Find LCM of 820,364,936,202 with Prime Factorization

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

2 x 2 x 13 x 205 x 7 x 18 x 101 = 135659160

Therefore, the lowest common multiple of 820,364,936,202 is 135659160.

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 364 x 936 x 202 = 56434210560

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

202 : 1, 2, 101, 202

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,364,936,202, is 2.

Now, the common factors can be found like this.

820:2x 2x 5x 41

364:2x 2x 7x 13

936:2x 2x 2x 3x 3x 13

202:2x 101

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 13 = 208

Therefore, the value for common factors is 208.

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 = 56434210560/(2x208)

LCM = 56434210560/416

LCM = 135659160

Thus, we can understand that the LCM of 820,364,936,202 is 135659160.

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

• LCM of 826, 336, 975, 290
• LCM of 593, 806, 103, 118
• LCM of 954, 527, 137, 598
• LCM of 268, 914, 638, 918
• LCM of 433, 863, 534, 186

1. What is the LCM of 820, 364, 936, 202?

Answer: LCM of 820, 364, 936, 202 is 135659160.

2. How to calculate the LCM of 820, 364, 936, 202?

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, 364, 936, 202.

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}.