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LCM of 229, 404, 458, 480

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


Find the LCM of 229, 404, 458, 480 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 229, 404, 458, 480. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,404,458,480

Given numbers are 229,404,458,480

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

The LCM of 229,404,458,480 is 11101920.

Find LCM of 229,404,458,480 with Prime Factorization


2 229, 404, 458, 480
2 229, 202, 229, 240
229 229, 101, 229, 120
1, 101, 1, 120

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

2 x 2 x 229 x 1 x 101 x 1 x 120 = 11101920

Therefore, the lowest common multiple of 229,404,458,480 is 11101920.

LCM Formula to Find Lowest Common Multiple of 229,404,458,480

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.

229 x 404 x 458 x 480 = 20338717440

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.

229 : 1, 229

404 : 1, 2, 4, 101, 202, 404

458 : 1, 2, 229, 458

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,404,458,480, is 1.

Now, the common factors can be found like this.

229:229

404:2x 2x 101

458:2x 229

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

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 229 = 1832

Therefore, the value for common factors is 1832.

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 = 20338717440/(1x1832)

LCM = 20338717440/1832

LCM = 11101920

Thus, we can understand that the LCM of 229,404,458,480 is 11101920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 404, 458, 480

1. What is the LCM of 229, 404, 458, 480?

Answer: LCM of 229, 404, 458, 480 is 11101920.

2. How to calculate the LCM of 229, 404, 458, 480?

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 229, 404, 458, 480.

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}.