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LCM of 954, 355, 541, 417

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


Find the LCM of 954, 355, 541, 417 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 954, 355, 541, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 954,355,541,417

Given numbers are 954,355,541,417

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

The LCM of 954,355,541,417 is 25467645330.

Find LCM of 954,355,541,417 with Prime Factorization


3 954, 355, 541, 417
318, 355, 541, 139

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

3 x 318 x 355 x 541 x 139 = 25467645330

Therefore, the lowest common multiple of 954,355,541,417 is 25467645330.

LCM Formula to Find Lowest Common Multiple of 954,355,541,417

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.

954 x 355 x 541 x 417 = 76402935990

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.

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

355 : 1, 5, 71, 355

541 : 1, 541

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,355,541,417, is 1.

Now, the common factors can be found like this.

954:2x 3x 3x 53

355:5x 71

541:541

417:3x 139

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

3 = 3

Therefore, the value for common factors is 3.

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 = 76402935990/(1x3)

LCM = 76402935990/3

LCM = 25467645330

Thus, we can understand that the LCM of 954,355,541,417 is 25467645330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 954, 355, 541, 417

1. What is the LCM of 954, 355, 541, 417?

Answer: LCM of 954, 355, 541, 417 is 25467645330.

2. How to calculate the LCM of 954, 355, 541, 417?

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 954, 355, 541, 417.

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}.