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LCM of 872, 442, 312, 605

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


Find the LCM of 872, 442, 312, 605 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, 442, 312, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,442,312,605

Given numbers are 872,442,312,605

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

The LCM of 872,442,312,605 is 349772280.

Find LCM of 872,442,312,605 with Prime Factorization


2 872, 442, 312, 605
2 436, 221, 156, 605
2 218, 221, 78, 605
13 109, 221, 39, 605
109, 17, 3, 605

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

2 x 2 x 2 x 13 x 109 x 17 x 3 x 605 = 349772280

Therefore, the lowest common multiple of 872,442,312,605 is 349772280.

LCM Formula to Find Lowest Common Multiple of 872,442,312,605

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 442 x 312 x 605 = 72752634240

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,442,312,605, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

442:2x 13x 17

312:2x 2x 2x 3x 13

605:5x 11x 11

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 72752634240/(1x208)

LCM = 72752634240/208

LCM = 349772280

Thus, we can understand that the LCM of 872,442,312,605 is 349772280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 442, 312, 605

1. What is the LCM of 872, 442, 312, 605?

Answer: LCM of 872, 442, 312, 605 is 349772280.

2. How to calculate the LCM of 872, 442, 312, 605?

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, 442, 312, 605.

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}.