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LCM of 218, 436, 164, 255

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


Find the LCM of 218, 436, 164, 255 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 218, 436, 164, 255. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,436,164,255

Given numbers are 218,436,164,255

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

The LCM of 218,436,164,255 is 4558380.

Find LCM of 218,436,164,255 with Prime Factorization


2 218, 436, 164, 255
2 109, 218, 82, 255
109 109, 109, 41, 255
1, 1, 41, 255

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

2 x 2 x 109 x 1 x 1 x 41 x 255 = 4558380

Therefore, the lowest common multiple of 218,436,164,255 is 4558380.

LCM Formula to Find Lowest Common Multiple of 218,436,164,255

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.

218 x 436 x 164 x 255 = 3974907360

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.

218 : 1, 2, 109, 218

436 : 1, 2, 4, 109, 218, 436

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

255 : 1, 3, 5, 15, 17, 51, 85, 255

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,436,164,255, is 1.

Now, the common factors can be found like this.

218:2x 109

436:2x 2x 109

164:2x 2x 41

255:3x 5x 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 2x 2x 109 = 872

Therefore, the value for common factors is 872.

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 = 3974907360/(1x872)

LCM = 3974907360/872

LCM = 4558380

Thus, we can understand that the LCM of 218,436,164,255 is 4558380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 436, 164, 255

1. What is the LCM of 218, 436, 164, 255?

Answer: LCM of 218, 436, 164, 255 is 4558380.

2. How to calculate the LCM of 218, 436, 164, 255?

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 218, 436, 164, 255.

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}.