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LCM of 480, 341, 574, 206

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


Find the LCM of 480, 341, 574, 206 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 480, 341, 574, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 480,341,574,206

Given numbers are 480,341,574,206

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

The LCM of 480,341,574,206 is 4838544480.

Find LCM of 480,341,574,206 with Prime Factorization


2 480, 341, 574, 206
240, 341, 287, 103

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

2 x 240 x 341 x 287 x 103 = 4838544480

Therefore, the lowest common multiple of 480,341,574,206 is 4838544480.

LCM Formula to Find Lowest Common Multiple of 480,341,574,206

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.

480 x 341 x 574 x 206 = 19354177920

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

341 : 1, 11, 31, 341

574 : 1, 2, 7, 14, 41, 82, 287, 574

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,341,574,206, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

341:11x 31

574:2x 7x 41

206:2x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 19354177920/(1x4)

LCM = 19354177920/4

LCM = 4838544480

Thus, we can understand that the LCM of 480,341,574,206 is 4838544480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 480, 341, 574, 206

1. What is the LCM of 480, 341, 574, 206?

Answer: LCM of 480, 341, 574, 206 is 4838544480.

2. How to calculate the LCM of 480, 341, 574, 206?

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 480, 341, 574, 206.

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}.