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LCM of 854, 435, 696, 218

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


Find the LCM of 854, 435, 696, 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 854, 435, 696, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,435,696,218

Given numbers are 854,435,696,218

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

The LCM of 854,435,696,218 is 161969640.

Find LCM of 854,435,696,218 with Prime Factorization


2 854, 435, 696, 218
3 427, 435, 348, 109
29 427, 145, 116, 109
427, 5, 4, 109

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

2 x 3 x 29 x 427 x 5 x 4 x 109 = 161969640

Therefore, the lowest common multiple of 854,435,696,218 is 161969640.

LCM Formula to Find Lowest Common Multiple of 854,435,696,218

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.

854 x 435 x 696 x 218 = 56365434720

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

435 : 1, 3, 5, 15, 29, 87, 145, 435

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,435,696,218, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

435:3x 5x 29

696:2x 2x 2x 3x 29

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 3x 29 = 348

Therefore, the value for common factors is 348.

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 = 56365434720/(1x348)

LCM = 56365434720/348

LCM = 161969640

Thus, we can understand that the LCM of 854,435,696,218 is 161969640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 435, 696, 218

1. What is the LCM of 854, 435, 696, 218?

Answer: LCM of 854, 435, 696, 218 is 161969640.

2. How to calculate the LCM of 854, 435, 696, 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 854, 435, 696, 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}.