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LCM of 879, 412, 326, 642, 254

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


Find the LCM of 879, 412, 326, 642, 254 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 879, 412, 326, 642, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 879,412,326,642,254

Given numbers are 879,412,326,642,254

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

The LCM of 879,412,326,642,254 is 802160355036.

Find LCM of 879,412,326,642,254 with Prime Factorization


2 879, 412, 326, 642, 254
3 879, 206, 163, 321, 127
293, 206, 163, 107, 127

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

2 x 3 x 293 x 206 x 163 x 107 x 127 = 802160355036

Therefore, the lowest common multiple of 879,412,326,642,254 is 802160355036.

LCM Formula to Find Lowest Common Multiple of 879,412,326,642,254

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.

879 x 412 x 326 x 642 x 254 = 19251848520864

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.

879 : 1, 3, 293, 879

412 : 1, 2, 4, 103, 206, 412

326 : 1, 2, 163, 326

642 : 1, 2, 3, 6, 107, 214, 321, 642

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,412,326,642,254, is 1.

Now, the common factors can be found like this.

879:3x 293

412:2x 2x 103

326:2x 163

642:2x 3x 107

254:2x 127

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 3 = 24

Therefore, the value for common factors is 24.

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 = 19251848520864/(1x24)

LCM = 19251848520864/24

LCM = 802160355036

Thus, we can understand that the LCM of 879,412,326,642,254 is 802160355036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 879, 412, 326, 642, 254

1. What is the LCM of 879, 412, 326, 642, 254?

Answer: LCM of 879, 412, 326, 642, 254 is 802160355036.

2. How to calculate the LCM of 879, 412, 326, 642, 254?

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 879, 412, 326, 642, 254.

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}.