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LCM of 218, 586, 436, 149

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


Find the LCM of 218, 586, 436, 149 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, 586, 436, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,586,436,149

Given numbers are 218,586,436,149

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

The LCM of 218,586,436,149 is 19034452.

Find LCM of 218,586,436,149 with Prime Factorization


2 218, 586, 436, 149
109 109, 293, 218, 149
1, 293, 2, 149

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

2 x 109 x 1 x 293 x 2 x 149 = 19034452

Therefore, the lowest common multiple of 218,586,436,149 is 19034452.

LCM Formula to Find Lowest Common Multiple of 218,586,436,149

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 586 x 436 x 149 = 8299021072

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

586 : 1, 2, 293, 586

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

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,586,436,149, is 1.

Now, the common factors can be found like this.

218:2x 109

586:2x 293

436:2x 2x 109

149:149

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 109 = 436

Therefore, the value for common factors is 436.

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 = 8299021072/(1x436)

LCM = 8299021072/436

LCM = 19034452

Thus, we can understand that the LCM of 218,586,436,149 is 19034452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 586, 436, 149

1. What is the LCM of 218, 586, 436, 149?

Answer: LCM of 218, 586, 436, 149 is 19034452.

2. How to calculate the LCM of 218, 586, 436, 149?

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, 586, 436, 149.

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}.