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LCM of 578, 166, 200, 871, 898

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


Find the LCM of 578, 166, 200, 871, 898 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 578, 166, 200, 871, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,166,200,871,898

Given numbers are 578,166,200,871,898

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

The LCM of 578,166,200,871,898 is 1876162394600.

Find LCM of 578,166,200,871,898 with Prime Factorization


2 578, 166, 200, 871, 898
289, 83, 100, 871, 449

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

2 x 289 x 83 x 100 x 871 x 449 = 1876162394600

Therefore, the lowest common multiple of 578,166,200,871,898 is 1876162394600.

LCM Formula to Find Lowest Common Multiple of 578,166,200,871,898

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.

578 x 166 x 200 x 871 x 898 = 15009299156800

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.

578 : 1, 2, 17, 34, 289, 578

166 : 1, 2, 83, 166

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

871 : 1, 13, 67, 871

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,166,200,871,898, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

166:2x 83

200:2x 2x 2x 5x 5

871:13x 67

898:2x 449

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 15009299156800/(1x8)

LCM = 15009299156800/8

LCM = 1876162394600

Thus, we can understand that the LCM of 578,166,200,871,898 is 1876162394600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 166, 200, 871, 898

1. What is the LCM of 578, 166, 200, 871, 898?

Answer: LCM of 578, 166, 200, 871, 898 is 1876162394600.

2. How to calculate the LCM of 578, 166, 200, 871, 898?

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 578, 166, 200, 871, 898.

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}.