Given numbers are 420,526,940,950,816

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

The LCM of 420,526,940,950,816 is 33537865200.

Find LCM of 420,526,940,950,816 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 263 x 47 x 95 x 68 = 33537865200

Therefore, the lowest common multiple of 420,526,940,950,816 is 33537865200.

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.

420 x 526 x 940 x 950 x 816 = 160981752960000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

526 : 1, 2, 263, 526

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,526,940,950,816, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

526:2x 263

940:2x 2x 5x 47

950:2x 5x 5x 19

816:2x 2x 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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 160981752960000/(2x2400)

LCM = 160981752960000/4800

LCM = 33537865200

Thus, we can understand that the LCM of 420,526,940,950,816 is 33537865200.

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

• LCM of 899, 725, 267, 467, 950
• LCM of 503, 403, 409, 991, 164
• LCM of 214, 988, 336, 444, 429
• LCM of 592, 676, 936, 210, 710
• LCM of 675, 325, 825, 763, 472

1. What is the LCM of 420, 526, 940, 950, 816?

Answer: LCM of 420, 526, 940, 950, 816 is 33537865200.

2. How to calculate the LCM of 420, 526, 940, 950, 816?

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 420, 526, 940, 950, 816.

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}.