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LCM of 461, 480, 633, 844, 404

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


Find the LCM of 461, 480, 633, 844, 404 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 461, 480, 633, 844, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,480,633,844,404

Given numbers are 461,480,633,844,404

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

The LCM of 461,480,633,844,404 is 4715698080.

Find LCM of 461,480,633,844,404 with Prime Factorization


2 461, 480, 633, 844, 404
2 461, 240, 633, 422, 202
3 461, 120, 633, 211, 101
211 461, 40, 211, 211, 101
461, 40, 1, 1, 101

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

2 x 2 x 3 x 211 x 461 x 40 x 1 x 1 x 101 = 4715698080

Therefore, the lowest common multiple of 461,480,633,844,404 is 4715698080.

LCM Formula to Find Lowest Common Multiple of 461,480,633,844,404

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.

461 x 480 x 633 x 844 x 404 = 47760590154240

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.

461 : 1, 461

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

633 : 1, 3, 211, 633

844 : 1, 2, 4, 211, 422, 844

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,480,633,844,404, is 1.

Now, the common factors can be found like this.

461:461

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

633:3x 211

844:2x 2x 211

404:2x 2x 101

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 2x 3x 211 = 10128

Therefore, the value for common factors is 10128.

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 = 47760590154240/(1x10128)

LCM = 47760590154240/10128

LCM = 4715698080

Thus, we can understand that the LCM of 461,480,633,844,404 is 4715698080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 480, 633, 844, 404

1. What is the LCM of 461, 480, 633, 844, 404?

Answer: LCM of 461, 480, 633, 844, 404 is 4715698080.

2. How to calculate the LCM of 461, 480, 633, 844, 404?

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 461, 480, 633, 844, 404.

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}.