Given numbers are 894,504,763,966

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

The LCM of 894,504,763,966 is 188265672.

Find LCM of 894,504,763,966 with Prime Factorization

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

2 x 3 x 7 x 149 x 12 x 109 x 23 = 188265672

Therefore, the lowest common multiple of 894,504,763,966 is 188265672.

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.

894 x 504 x 763 x 966 = 332100645408

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 894,504,763,966, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

504:2x 2x 2x 3x 3x 7

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 2x 3x 3x 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 332100645408/(1x1764)

LCM = 332100645408/1764

LCM = 188265672

Thus, we can understand that the LCM of 894,504,763,966 is 188265672.

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

• LCM of 534, 484, 420, 833
• LCM of 826, 400, 291, 469
• LCM of 460, 582, 208, 691
• LCM of 776, 305, 440, 636
• LCM of 830, 784, 475, 996

1. What is the LCM of 894, 504, 763, 966?

Answer: LCM of 894, 504, 763, 966 is 188265672.

2. How to calculate the LCM of 894, 504, 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 894, 504, 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}.