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LCM of 326, 354, 339, 557

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


Find the LCM of 326, 354, 339, 557 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 326, 354, 339, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,354,339,557

Given numbers are 326,354,339,557

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

The LCM of 326,354,339,557 is 3631821582.

Find LCM of 326,354,339,557 with Prime Factorization


2 326, 354, 339, 557
3 163, 177, 339, 557
163, 59, 113, 557

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

2 x 3 x 163 x 59 x 113 x 557 = 3631821582

Therefore, the lowest common multiple of 326,354,339,557 is 3631821582.

LCM Formula to Find Lowest Common Multiple of 326,354,339,557

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.

326 x 354 x 339 x 557 = 21790929492

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.

326 : 1, 2, 163, 326

354 : 1, 2, 3, 6, 59, 118, 177, 354

339 : 1, 3, 113, 339

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,354,339,557, is 1.

Now, the common factors can be found like this.

326:2x 163

354:2x 3x 59

339:3x 113

557:557

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 21790929492/(1x6)

LCM = 21790929492/6

LCM = 3631821582

Thus, we can understand that the LCM of 326,354,339,557 is 3631821582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 354, 339, 557

1. What is the LCM of 326, 354, 339, 557?

Answer: LCM of 326, 354, 339, 557 is 3631821582.

2. How to calculate the LCM of 326, 354, 339, 557?

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 326, 354, 339, 557.

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}.