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LCM of 312, 322, 972, 923

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


Find the LCM of 312, 322, 972, 923 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 312, 322, 972, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,322,972,923

Given numbers are 312,322,972,923

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

The LCM of 312,322,972,923 is 288884232.

Find LCM of 312,322,972,923 with Prime Factorization


2 312, 322, 972, 923
2 156, 161, 486, 923
3 78, 161, 243, 923
13 26, 161, 81, 923
2, 161, 81, 71

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

2 x 2 x 3 x 13 x 2 x 161 x 81 x 71 = 288884232

Therefore, the lowest common multiple of 312,322,972,923 is 288884232.

LCM Formula to Find Lowest Common Multiple of 312,322,972,923

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.

312 x 322 x 972 x 923 = 90131880384

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

322 : 1, 2, 7, 14, 23, 46, 161, 322

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,322,972,923, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

322:2x 7x 23

972:2x 2x 3x 3x 3x 3x 3

923:13x 71

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 90131880384/(1x312)

LCM = 90131880384/312

LCM = 288884232

Thus, we can understand that the LCM of 312,322,972,923 is 288884232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 322, 972, 923

1. What is the LCM of 312, 322, 972, 923?

Answer: LCM of 312, 322, 972, 923 is 288884232.

2. How to calculate the LCM of 312, 322, 972, 923?

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 312, 322, 972, 923.

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}.