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LCM of 166, 956, 888, 478

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


Find the LCM of 166, 956, 888, 478 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, 956, 888, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 166,956,888,478

Given numbers are 166,956,888,478

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

The LCM of 166,956,888,478 is 17615256.

Find LCM of 166,956,888,478 with Prime Factorization


2 166, 956, 888, 478
2 83, 478, 444, 239
239 83, 239, 222, 239
83, 1, 222, 1

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

2 x 2 x 239 x 83 x 1 x 222 x 1 = 17615256

Therefore, the lowest common multiple of 166,956,888,478 is 17615256.

LCM Formula to Find Lowest Common Multiple of 166,956,888,478

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 956 x 888 x 478 = 67360738944

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

956 : 1, 2, 4, 239, 478, 956

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,956,888,478, is 2.

Now, the common factors can be found like this.

166:2x 83

956:2x 2x 239

888:2x 2x 2x 3x 37

478:2x 239

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 2x 239 = 1912

Therefore, the value for common factors is 1912.

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 = 67360738944/(2x1912)

LCM = 67360738944/3824

LCM = 17615256

Thus, we can understand that the LCM of 166,956,888,478 is 17615256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 166, 956, 888, 478

1. What is the LCM of 166, 956, 888, 478?

Answer: LCM of 166, 956, 888, 478 is 17615256.

2. How to calculate the LCM of 166, 956, 888, 478?

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, 956, 888, 478.

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}.