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LCM of 871, 180, 669, 489

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


Find the LCM of 871, 180, 669, 489 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 871, 180, 669, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,180,669,489

Given numbers are 871,180,669,489

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

The LCM of 871,180,669,489 is 5698796220.

Find LCM of 871,180,669,489 with Prime Factorization


3 871, 180, 669, 489
871, 60, 223, 163

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

3 x 871 x 60 x 223 x 163 = 5698796220

Therefore, the lowest common multiple of 871,180,669,489 is 5698796220.

LCM Formula to Find Lowest Common Multiple of 871,180,669,489

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.

871 x 180 x 669 x 489 = 51289165980

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.

871 : 1, 13, 67, 871

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

669 : 1, 3, 223, 669

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,180,669,489, is 1.

Now, the common factors can be found like this.

871:13x 67

180:2x 2x 3x 3x 5

669:3x 223

489:3x 163

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 51289165980/(1x9)

LCM = 51289165980/9

LCM = 5698796220

Thus, we can understand that the LCM of 871,180,669,489 is 5698796220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 180, 669, 489

1. What is the LCM of 871, 180, 669, 489?

Answer: LCM of 871, 180, 669, 489 is 5698796220.

2. How to calculate the LCM of 871, 180, 669, 489?

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 871, 180, 669, 489.

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}.