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LCM of 930, 253, 436, 218

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


Find the LCM of 930, 253, 436, 218 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 930, 253, 436, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,253,436,218

Given numbers are 930,253,436,218

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

The LCM of 930,253,436,218 is 51293220.

Find LCM of 930,253,436,218 with Prime Factorization


2 930, 253, 436, 218
109 465, 253, 218, 109
465, 253, 2, 1

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

2 x 109 x 465 x 253 x 2 x 1 = 51293220

Therefore, the lowest common multiple of 930,253,436,218 is 51293220.

LCM Formula to Find Lowest Common Multiple of 930,253,436,218

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.

930 x 253 x 436 x 218 = 22363843920

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

253 : 1, 11, 23, 253

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

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,253,436,218, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

253:11x 23

436:2x 2x 109

218:2x 109

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 = 22363843920/(1x436)

LCM = 22363843920/436

LCM = 51293220

Thus, we can understand that the LCM of 930,253,436,218 is 51293220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 253, 436, 218

1. What is the LCM of 930, 253, 436, 218?

Answer: LCM of 930, 253, 436, 218 is 51293220.

2. How to calculate the LCM of 930, 253, 436, 218?

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 930, 253, 436, 218.

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}.