Given numbers are 966,109,957

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

The LCM of 966,109,957 is 33588786.

Find LCM of 966,109,957 with Prime Factorization

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

3 x 322 x 109 x 319 = 33588786

Therefore, the lowest common multiple of 966,109,957 is 33588786.

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 109 x 957 = 100766358

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

109 : 1, 109

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,109,957, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

109:109

957:3x 11x 29

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

3 = 3

Therefore, the value for common factors is 3.

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 = 100766358/(1x3)

LCM = 100766358/3

LCM = 33588786

Thus, we can understand that the LCM of 966,109,957 is 33588786.

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

• LCM of 922, 481, 449
• LCM of 408, 206, 997
• LCM of 619, 376, 756
• LCM of 506, 116, 823
• LCM of 368, 748, 978

1. What is the LCM of 966, 109, 957?

Answer: LCM of 966, 109, 957 is 33588786.

2. How to calculate the LCM of 966, 109, 957?

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, 109, 957.

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}.