Given numbers are 820,214,802,351

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

The LCM of 820,214,802,351 is 12349492740.

Find LCM of 820,214,802,351 with Prime Factorization

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

2 x 410 x 107 x 401 x 351 = 12349492740

Therefore, the lowest common multiple of 820,214,802,351 is 12349492740.

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 214 x 802 x 351 = 49397970960

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

214 : 1, 2, 107, 214

802 : 1, 2, 401, 802

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,214,802,351, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

214:2x 107

802:2x 401

351:3x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 49397970960/(1x4)

LCM = 49397970960/4

LCM = 12349492740

Thus, we can understand that the LCM of 820,214,802,351 is 12349492740.

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

• LCM of 120, 242, 332, 900
• LCM of 193, 182, 894, 716
• LCM of 915, 868, 938, 824
• LCM of 773, 274, 989, 235
• LCM of 393, 265, 349, 580

1. What is the LCM of 820, 214, 802, 351?

Answer: LCM of 820, 214, 802, 351 is 12349492740.

2. How to calculate the LCM of 820, 214, 802, 351?

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, 214, 802, 351.

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}.