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LCM of 452, 121, 801, 426

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


Find the LCM of 452, 121, 801, 426 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 452, 121, 801, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,121,801,426

Given numbers are 452,121,801,426

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

The LCM of 452,121,801,426 is 3110388732.

Find LCM of 452,121,801,426 with Prime Factorization


2 452, 121, 801, 426
3 226, 121, 801, 213
226, 121, 267, 71

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

2 x 3 x 226 x 121 x 267 x 71 = 3110388732

Therefore, the lowest common multiple of 452,121,801,426 is 3110388732.

LCM Formula to Find Lowest Common Multiple of 452,121,801,426

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.

452 x 121 x 801 x 426 = 18662332392

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.

452 : 1, 2, 4, 113, 226, 452

121 : 1, 11, 121

801 : 1, 3, 9, 89, 267, 801

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,121,801,426, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

121:11x 11

801:3x 3x 89

426:2x 3x 71

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 18662332392/(1x6)

LCM = 18662332392/6

LCM = 3110388732

Thus, we can understand that the LCM of 452,121,801,426 is 3110388732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 121, 801, 426

1. What is the LCM of 452, 121, 801, 426?

Answer: LCM of 452, 121, 801, 426 is 3110388732.

2. How to calculate the LCM of 452, 121, 801, 426?

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 452, 121, 801, 426.

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}.