Given numbers are 820,341,648,402

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

The LCM of 820,341,648,402 is 3034995480.

Find LCM of 820,341,648,402 with Prime Factorization

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

2 x 2 x 3 x 205 x 341 x 54 x 67 = 3034995480

Therefore, the lowest common multiple of 820,341,648,402 is 3034995480.

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 341 x 648 x 402 = 72839891520

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

341 : 1, 11, 31, 341

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,341,648,402, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

341:11x 31

648:2x 2x 2x 3x 3x 3x 3

402:2x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 72839891520/(1x24)

LCM = 72839891520/24

LCM = 3034995480

Thus, we can understand that the LCM of 820,341,648,402 is 3034995480.

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

• LCM of 955, 101, 936, 643
• LCM of 286, 745, 829, 839
• LCM of 102, 254, 336, 974
• LCM of 206, 301, 245, 733
• LCM of 148, 268, 279, 789

1. What is the LCM of 820, 341, 648, 402?

Answer: LCM of 820, 341, 648, 402 is 3034995480.

2. How to calculate the LCM of 820, 341, 648, 402?

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, 341, 648, 402.

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}.