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LCM of 338, 314, 722, 923

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


Find the LCM of 338, 314, 722, 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 338, 314, 722, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,314,722,923

Given numbers are 338,314,722,923

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

The LCM of 338,314,722,923 is 1360134646.

Find LCM of 338,314,722,923 with Prime Factorization


2 338, 314, 722, 923
13 169, 157, 361, 923
13, 157, 361, 71

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

2 x 13 x 13 x 157 x 361 x 71 = 1360134646

Therefore, the lowest common multiple of 338,314,722,923 is 1360134646.

LCM Formula to Find Lowest Common Multiple of 338,314,722,923

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.

338 x 314 x 722 x 923 = 70727001592

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.

338 : 1, 2, 13, 26, 169, 338

314 : 1, 2, 157, 314

722 : 1, 2, 19, 38, 361, 722

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,314,722,923, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

314:2x 157

722:2x 19x 19

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 13 = 52

Therefore, the value for common factors is 52.

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 = 70727001592/(1x52)

LCM = 70727001592/52

LCM = 1360134646

Thus, we can understand that the LCM of 338,314,722,923 is 1360134646.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 314, 722, 923

1. What is the LCM of 338, 314, 722, 923?

Answer: LCM of 338, 314, 722, 923 is 1360134646.

2. How to calculate the LCM of 338, 314, 722, 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 338, 314, 722, 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}.