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LCM of 338, 167, 748, 728

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


Find the LCM of 338, 167, 748, 728 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, 167, 748, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,167,748,728

Given numbers are 338,167,748,728

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

The LCM of 338,167,748,728 is 295551256.

Find LCM of 338,167,748,728 with Prime Factorization


2 338, 167, 748, 728
2 169, 167, 374, 364
13 169, 167, 187, 182
13, 167, 187, 14

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

2 x 2 x 13 x 13 x 167 x 187 x 14 = 295551256

Therefore, the lowest common multiple of 338,167,748,728 is 295551256.

LCM Formula to Find Lowest Common Multiple of 338,167,748,728

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 167 x 748 x 728 = 30737330624

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

167 : 1, 167

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,167,748,728, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

167:167

748:2x 2x 11x 17

728:2x 2x 2x 7x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 30737330624/(1x104)

LCM = 30737330624/104

LCM = 295551256

Thus, we can understand that the LCM of 338,167,748,728 is 295551256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 167, 748, 728

1. What is the LCM of 338, 167, 748, 728?

Answer: LCM of 338, 167, 748, 728 is 295551256.

2. How to calculate the LCM of 338, 167, 748, 728?

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, 167, 748, 728.

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}.