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LCM of 323, 940, 741, 152

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


Find the LCM of 323, 940, 741, 152 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 323, 940, 741, 152. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,940,741,152

Given numbers are 323,940,741,152

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

The LCM of 323,940,741,152 is 23682360.

Find LCM of 323,940,741,152 with Prime Factorization


2 323, 940, 741, 152
2 323, 470, 741, 76
19 323, 235, 741, 38
17, 235, 39, 2

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

2 x 2 x 19 x 17 x 235 x 39 x 2 = 23682360

Therefore, the lowest common multiple of 323,940,741,152 is 23682360.

LCM Formula to Find Lowest Common Multiple of 323,940,741,152

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.

323 x 940 x 741 x 152 = 34197327840

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.

323 : 1, 17, 19, 323

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

741 : 1, 3, 13, 19, 39, 57, 247, 741

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,940,741,152, is 1.

Now, the common factors can be found like this.

323:17x 19

940:2x 2x 5x 47

741:3x 13x 19

152:2x 2x 2x 19

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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 34197327840/(1x1444)

LCM = 34197327840/1444

LCM = 23682360

Thus, we can understand that the LCM of 323,940,741,152 is 23682360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 940, 741, 152

1. What is the LCM of 323, 940, 741, 152?

Answer: LCM of 323, 940, 741, 152 is 23682360.

2. How to calculate the LCM of 323, 940, 741, 152?

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 323, 940, 741, 152.

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}.