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LCM of 871, 689, 265, 201

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


Find the LCM of 871, 689, 265, 201 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, 689, 265, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,689,265,201

Given numbers are 871,689,265,201

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

The LCM of 871,689,265,201 is 692445.

Find LCM of 871,689,265,201 with Prime Factorization


13 871, 689, 265, 201
53 67, 53, 265, 201
67 67, 1, 5, 201
1, 1, 5, 3

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

13 x 53 x 67 x 1 x 1 x 5 x 3 = 692445

Therefore, the lowest common multiple of 871,689,265,201 is 692445.

LCM Formula to Find Lowest Common Multiple of 871,689,265,201

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 689 x 265 x 201 = 31965338535

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

689 : 1, 13, 53, 689

265 : 1, 5, 53, 265

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,689,265,201, is 1.

Now, the common factors can be found like this.

871:13x 67

689:13x 53

265:5x 53

201:3x 67

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

13x 53x 67 = 46163

Therefore, the value for common factors is 46163.

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 = 31965338535/(1x46163)

LCM = 31965338535/46163

LCM = 692445

Thus, we can understand that the LCM of 871,689,265,201 is 692445.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 689, 265, 201

1. What is the LCM of 871, 689, 265, 201?

Answer: LCM of 871, 689, 265, 201 is 692445.

2. How to calculate the LCM of 871, 689, 265, 201?

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, 689, 265, 201.

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}.