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LCM of 441, 239, 469, 406, 826

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


Find the LCM of 441, 239, 469, 406, 826 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 441, 239, 469, 406, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,239,469,406,826

Given numbers are 441,239,469,406,826

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

The LCM of 441,239,469,406,826 is 24165250326.

Find LCM of 441,239,469,406,826 with Prime Factorization


2 441, 239, 469, 406, 826
7 441, 239, 469, 203, 413
63, 239, 67, 29, 59

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

2 x 7 x 63 x 239 x 67 x 29 x 59 = 24165250326

Therefore, the lowest common multiple of 441,239,469,406,826 is 24165250326.

LCM Formula to Find Lowest Common Multiple of 441,239,469,406,826

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.

441 x 239 x 469 x 406 x 826 = 16577361723636

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

239 : 1, 239

469 : 1, 7, 67, 469

406 : 1, 2, 7, 14, 29, 58, 203, 406

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,239,469,406,826, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

239:239

469:7x 67

406:2x 7x 29

826:2x 7x 59

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

2x 7x 7x 7 = 686

Therefore, the value for common factors is 686.

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 = 16577361723636/(1x686)

LCM = 16577361723636/686

LCM = 24165250326

Thus, we can understand that the LCM of 441,239,469,406,826 is 24165250326.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 239, 469, 406, 826

1. What is the LCM of 441, 239, 469, 406, 826?

Answer: LCM of 441, 239, 469, 406, 826 is 24165250326.

2. How to calculate the LCM of 441, 239, 469, 406, 826?

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 441, 239, 469, 406, 826.

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}.