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LCM of 666, 232, 923, 116

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 666, 232, 923, 116 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 666, 232, 923, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 666,232,923,116

Given numbers are 666,232,923,116

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

The LCM of 666,232,923,116 is 71307288.

Find LCM of 666,232,923,116 with Prime Factorization


2 666, 232, 923, 116
2 333, 116, 923, 58
29 333, 29, 923, 58
333, 1, 923, 2

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

2 x 2 x 29 x 333 x 1 x 923 x 2 = 71307288

Therefore, the lowest common multiple of 666,232,923,116 is 71307288.

LCM Formula to Find Lowest Common Multiple of 666,232,923,116

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.

666 x 232 x 923 x 116 = 16543290816

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.

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

232 : 1, 2, 4, 8, 29, 58, 116, 232

923 : 1, 13, 71, 923

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,232,923,116, is 1.

Now, the common factors can be found like this.

666:2x 3x 3x 37

232:2x 2x 2x 29

923:13x 71

116:2x 2x 29

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 29 = 232

Therefore, the value for common factors is 232.

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 = 16543290816/(1x232)

LCM = 16543290816/232

LCM = 71307288

Thus, we can understand that the LCM of 666,232,923,116 is 71307288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 666, 232, 923, 116

1. What is the LCM of 666, 232, 923, 116?

Answer: LCM of 666, 232, 923, 116 is 71307288.

2. How to calculate the LCM of 666, 232, 923, 116?

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 666, 232, 923, 116.

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}.