Given numbers are 966,678,223,212,975

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

The LCM of 966,678,223,212,975 is 838589961300.

Find LCM of 966,678,223,212,975 with Prime Factorization

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

2 x 3 x 161 x 113 x 223 x 106 x 325 = 838589961300

Therefore, the lowest common multiple of 966,678,223,212,975 is 838589961300.

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.

966 x 678 x 223 x 212 x 975 = 30189238606800

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.

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

223 : 1, 223

212 : 1, 2, 4, 53, 106, 212

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,678,223,212,975, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

678:2x 3x 113

223:223

212:2x 2x 53

975:3x 5x 5x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 30189238606800/(1x36)

LCM = 30189238606800/36

LCM = 838589961300

Thus, we can understand that the LCM of 966,678,223,212,975 is 838589961300.

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

• LCM of 191, 149, 626, 879, 868
• LCM of 809, 511, 442, 793, 461
• LCM of 232, 145, 191, 825, 599
• LCM of 493, 515, 199, 584, 716
• LCM of 698, 927, 776, 702, 975

1. What is the LCM of 966, 678, 223, 212, 975?

Answer: LCM of 966, 678, 223, 212, 975 is 838589961300.

2. How to calculate the LCM of 966, 678, 223, 212, 975?

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 966, 678, 223, 212, 975.

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}.