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LCM of 872, 958, 421, 421

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


Find the LCM of 872, 958, 421, 421 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 872, 958, 421, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,958,421,421

Given numbers are 872,958,421,421

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

The LCM of 872,958,421,421 is 175846648.

Find LCM of 872,958,421,421 with Prime Factorization


2 872, 958, 421, 421
421 436, 479, 421, 421
436, 479, 1, 1

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

2 x 421 x 436 x 479 x 1 x 1 = 175846648

Therefore, the lowest common multiple of 872,958,421,421 is 175846648.

LCM Formula to Find Lowest Common Multiple of 872,958,421,421

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.

872 x 958 x 421 x 421 = 148062877616

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

958 : 1, 2, 479, 958

421 : 1, 421

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,958,421,421, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

958:2x 479

421:421

421:421

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

2x 421 = 842

Therefore, the value for common factors is 842.

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 = 148062877616/(1x842)

LCM = 148062877616/842

LCM = 175846648

Thus, we can understand that the LCM of 872,958,421,421 is 175846648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 958, 421, 421

1. What is the LCM of 872, 958, 421, 421?

Answer: LCM of 872, 958, 421, 421 is 175846648.

2. How to calculate the LCM of 872, 958, 421, 421?

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 872, 958, 421, 421.

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}.