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LCM of 865, 482, 796, 946, 218

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


Find the LCM of 865, 482, 796, 946, 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 865, 482, 796, 946, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,482,796,946,218

Given numbers are 865,482,796,946,218

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

The LCM of 865,482,796,946,218 is 8555272683980.

Find LCM of 865,482,796,946,218 with Prime Factorization


2 865, 482, 796, 946, 218
865, 241, 398, 473, 109

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

2 x 865 x 241 x 398 x 473 x 109 = 8555272683980

Therefore, the lowest common multiple of 865,482,796,946,218 is 8555272683980.

LCM Formula to Find Lowest Common Multiple of 865,482,796,946,218

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.

865 x 482 x 796 x 946 x 218 = 68442181471840

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.

865 : 1, 5, 173, 865

482 : 1, 2, 241, 482

796 : 1, 2, 4, 199, 398, 796

946 : 1, 2, 11, 22, 43, 86, 473, 946

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,482,796,946,218, is 1.

Now, the common factors can be found like this.

865:5x 173

482:2x 241

796:2x 2x 199

946:2x 11x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 68442181471840/(1x8)

LCM = 68442181471840/8

LCM = 8555272683980

Thus, we can understand that the LCM of 865,482,796,946,218 is 8555272683980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 482, 796, 946, 218

1. What is the LCM of 865, 482, 796, 946, 218?

Answer: LCM of 865, 482, 796, 946, 218 is 8555272683980.

2. How to calculate the LCM of 865, 482, 796, 946, 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 865, 482, 796, 946, 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}.