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LCM of 871, 463, 518, 223, 663

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


Find the LCM of 871, 463, 518, 223, 663 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, 463, 518, 223, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,463,518,223,663

Given numbers are 871,463,518,223,663

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

The LCM of 871,463,518,223,663 is 2375767543422.

Find LCM of 871,463,518,223,663 with Prime Factorization


13 871, 463, 518, 223, 663
67, 463, 518, 223, 51

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

13 x 67 x 463 x 518 x 223 x 51 = 2375767543422

Therefore, the lowest common multiple of 871,463,518,223,663 is 2375767543422.

LCM Formula to Find Lowest Common Multiple of 871,463,518,223,663

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 463 x 518 x 223 x 663 = 30884978064486

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

463 : 1, 463

518 : 1, 2, 7, 14, 37, 74, 259, 518

223 : 1, 223

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,463,518,223,663, is 1.

Now, the common factors can be found like this.

871:13x 67

463:463

518:2x 7x 37

223:223

663:3x 13x 17

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

13 = 13

Therefore, the value for common factors is 13.

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 = 30884978064486/(1x13)

LCM = 30884978064486/13

LCM = 2375767543422

Thus, we can understand that the LCM of 871,463,518,223,663 is 2375767543422.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 463, 518, 223, 663

1. What is the LCM of 871, 463, 518, 223, 663?

Answer: LCM of 871, 463, 518, 223, 663 is 2375767543422.

2. How to calculate the LCM of 871, 463, 518, 223, 663?

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, 463, 518, 223, 663.

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}.