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LCM of 166, 862, 538, 578

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


Find the LCM of 166, 862, 538, 578 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 166, 862, 538, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 166,862,538,578

Given numbers are 166,862,538,578

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

The LCM of 166,862,538,578 is 5562057586.

Find LCM of 166,862,538,578 with Prime Factorization


2 166, 862, 538, 578
83, 431, 269, 289

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

2 x 83 x 431 x 269 x 289 = 5562057586

Therefore, the lowest common multiple of 166,862,538,578 is 5562057586.

LCM Formula to Find Lowest Common Multiple of 166,862,538,578

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.

166 x 862 x 538 x 578 = 44496460688

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.

166 : 1, 2, 83, 166

862 : 1, 2, 431, 862

538 : 1, 2, 269, 538

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,862,538,578, is 2.

Now, the common factors can be found like this.

166:2x 83

862:2x 431

538:2x 269

578:2x 17x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 44496460688/(2x4)

LCM = 44496460688/8

LCM = 5562057586

Thus, we can understand that the LCM of 166,862,538,578 is 5562057586.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 166, 862, 538, 578

1. What is the LCM of 166, 862, 538, 578?

Answer: LCM of 166, 862, 538, 578 is 5562057586.

2. How to calculate the LCM of 166, 862, 538, 578?

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 166, 862, 538, 578.

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}.