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LCM of 669, 871, 351, 179

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


Find the LCM of 669, 871, 351, 179 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 669, 871, 351, 179. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,871,351,179

Given numbers are 669,871,351,179

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

The LCM of 669,871,351,179 is 938728089.

Find LCM of 669,871,351,179 with Prime Factorization


3 669, 871, 351, 179
13 223, 871, 117, 179
223, 67, 9, 179

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

3 x 13 x 223 x 67 x 9 x 179 = 938728089

Therefore, the lowest common multiple of 669,871,351,179 is 938728089.

LCM Formula to Find Lowest Common Multiple of 669,871,351,179

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.

669 x 871 x 351 x 179 = 36610395471

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.

669 : 1, 3, 223, 669

871 : 1, 13, 67, 871

351 : 1, 3, 9, 13, 27, 39, 117, 351

179 : 1, 179

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,871,351,179, is 1.

Now, the common factors can be found like this.

669:3x 223

871:13x 67

351:3x 3x 3x 13

179:179

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 36610395471/(1x39)

LCM = 36610395471/39

LCM = 938728089

Thus, we can understand that the LCM of 669,871,351,179 is 938728089.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 871, 351, 179

1. What is the LCM of 669, 871, 351, 179?

Answer: LCM of 669, 871, 351, 179 is 938728089.

2. How to calculate the LCM of 669, 871, 351, 179?

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 669, 871, 351, 179.

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}.