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LCM of 801, 326, 253, 578

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


Find the LCM of 801, 326, 253, 578 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 801, 326, 253, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,326,253,578

Given numbers are 801,326,253,578

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

The LCM of 801,326,253,578 is 19092749742.

Find LCM of 801,326,253,578 with Prime Factorization


2 801, 326, 253, 578
801, 163, 253, 289

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

2 x 801 x 163 x 253 x 289 = 19092749742

Therefore, the lowest common multiple of 801,326,253,578 is 19092749742.

LCM Formula to Find Lowest Common Multiple of 801,326,253,578

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.

801 x 326 x 253 x 578 = 38185499484

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.

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

326 : 1, 2, 163, 326

253 : 1, 11, 23, 253

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,326,253,578, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

326:2x 163

253:11x 23

578:2x 17x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 38185499484/(1x2)

LCM = 38185499484/2

LCM = 19092749742

Thus, we can understand that the LCM of 801,326,253,578 is 19092749742.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 326, 253, 578

1. What is the LCM of 801, 326, 253, 578?

Answer: LCM of 801, 326, 253, 578 is 19092749742.

2. How to calculate the LCM of 801, 326, 253, 578?

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 801, 326, 253, 578.

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}.