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LCM of 164, 302, 906, 278

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


Find the LCM of 164, 302, 906, 278 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 164, 302, 906, 278. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 164,302,906,278

Given numbers are 164,302,906,278

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

The LCM of 164,302,906,278 is 10326588.

Find LCM of 164,302,906,278 with Prime Factorization


2 164, 302, 906, 278
151 82, 151, 453, 139
82, 1, 3, 139

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

2 x 151 x 82 x 1 x 3 x 139 = 10326588

Therefore, the lowest common multiple of 164,302,906,278 is 10326588.

LCM Formula to Find Lowest Common Multiple of 164,302,906,278

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.

164 x 302 x 906 x 278 = 12474518304

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.

164 : 1, 2, 4, 41, 82, 164

302 : 1, 2, 151, 302

906 : 1, 2, 3, 6, 151, 302, 453, 906

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,302,906,278, is 2.

Now, the common factors can be found like this.

164:2x 2x 41

302:2x 151

906:2x 3x 151

278:2x 139

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 151 = 604

Therefore, the value for common factors is 604.

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 = 12474518304/(2x604)

LCM = 12474518304/1208

LCM = 10326588

Thus, we can understand that the LCM of 164,302,906,278 is 10326588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 164, 302, 906, 278

1. What is the LCM of 164, 302, 906, 278?

Answer: LCM of 164, 302, 906, 278 is 10326588.

2. How to calculate the LCM of 164, 302, 906, 278?

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 164, 302, 906, 278.

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}.