Given numbers are 213,936,763,966

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

The LCM of 213,936,763,966 is 1166236344.

Find LCM of 213,936,763,966 with Prime Factorization

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

2 x 3 x 7 x 71 x 156 x 109 x 23 = 1166236344

Therefore, the lowest common multiple of 213,936,763,966 is 1166236344.

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.

213 x 936 x 763 x 966 = 146945779344

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.

213 : 1, 3, 71, 213

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

763 : 1, 7, 109, 763

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,936,763,966, is 1.

Now, the common factors can be found like this.

213:3x 71

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

763:7x 109

966:2x 3x 7x 23

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 146945779344/(1x126)

LCM = 146945779344/126

LCM = 1166236344

Thus, we can understand that the LCM of 213,936,763,966 is 1166236344.

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

• LCM of 299, 137, 313, 798
• LCM of 462, 220, 654, 611
• LCM of 137, 539, 725, 234
• LCM of 955, 763, 306, 845
• LCM of 918, 928, 555, 196

1. What is the LCM of 213, 936, 763, 966?

Answer: LCM of 213, 936, 763, 966 is 1166236344.

2. How to calculate the LCM of 213, 936, 763, 966?

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 213, 936, 763, 966.

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}.