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LCM of 338, 445, 901, 548

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


Find the LCM of 338, 445, 901, 548 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, 445, 901, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,445,901,548

Given numbers are 338,445,901,548

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

The LCM of 338,445,901,548 is 37132318340.

Find LCM of 338,445,901,548 with Prime Factorization


2 338, 445, 901, 548
169, 445, 901, 274

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

2 x 169 x 445 x 901 x 274 = 37132318340

Therefore, the lowest common multiple of 338,445,901,548 is 37132318340.

LCM Formula to Find Lowest Common Multiple of 338,445,901,548

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 445 x 901 x 548 = 74264636680

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

445 : 1, 5, 89, 445

901 : 1, 17, 53, 901

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,445,901,548, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

445:5x 89

901:17x 53

548:2x 2x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 74264636680/(1x2)

LCM = 74264636680/2

LCM = 37132318340

Thus, we can understand that the LCM of 338,445,901,548 is 37132318340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 445, 901, 548

1. What is the LCM of 338, 445, 901, 548?

Answer: LCM of 338, 445, 901, 548 is 37132318340.

2. How to calculate the LCM of 338, 445, 901, 548?

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, 445, 901, 548.

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}.