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LCM of 442, 121, 871, 585

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


Find the LCM of 442, 121, 871, 585 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 442, 121, 871, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,121,871,585

Given numbers are 442,121,871,585

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

The LCM of 442,121,871,585 is 161248230.

Find LCM of 442,121,871,585 with Prime Factorization


13 442, 121, 871, 585
34, 121, 67, 45

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

13 x 34 x 121 x 67 x 45 = 161248230

Therefore, the lowest common multiple of 442,121,871,585 is 161248230.

LCM Formula to Find Lowest Common Multiple of 442,121,871,585

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.

442 x 121 x 871 x 585 = 27250950870

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.

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

121 : 1, 11, 121

871 : 1, 13, 67, 871

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,121,871,585, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

121:11x 11

871:13x 67

585:3x 3x 5x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 27250950870/(1x169)

LCM = 27250950870/169

LCM = 161248230

Thus, we can understand that the LCM of 442,121,871,585 is 161248230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 121, 871, 585

1. What is the LCM of 442, 121, 871, 585?

Answer: LCM of 442, 121, 871, 585 is 161248230.

2. How to calculate the LCM of 442, 121, 871, 585?

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 442, 121, 871, 585.

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}.