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LCM of 809, 946, 286, 645

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


Find the LCM of 809, 946, 286, 645 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 809, 946, 286, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,946,286,645

Given numbers are 809,946,286,645

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

The LCM of 809,946,286,645 is 149236230.

Find LCM of 809,946,286,645 with Prime Factorization


2 809, 946, 286, 645
11 809, 473, 143, 645
43 809, 43, 13, 645
809, 1, 13, 15

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

2 x 11 x 43 x 809 x 1 x 13 x 15 = 149236230

Therefore, the lowest common multiple of 809,946,286,645 is 149236230.

LCM Formula to Find Lowest Common Multiple of 809,946,286,645

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.

809 x 946 x 286 x 645 = 141177473580

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.

809 : 1, 809

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,946,286,645, is 1.

Now, the common factors can be found like this.

809:809

946:2x 11x 43

286:2x 11x 13

645:3x 5x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 43 = 946

Therefore, the value for common factors is 946.

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 = 141177473580/(1x946)

LCM = 141177473580/946

LCM = 149236230

Thus, we can understand that the LCM of 809,946,286,645 is 149236230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 946, 286, 645

1. What is the LCM of 809, 946, 286, 645?

Answer: LCM of 809, 946, 286, 645 is 149236230.

2. How to calculate the LCM of 809, 946, 286, 645?

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 809, 946, 286, 645.

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}.