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LCM of 954, 130, 843, 509

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


Find the LCM of 954, 130, 843, 509 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 954, 130, 843, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 954,130,843,509

Given numbers are 954,130,843,509

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

The LCM of 954,130,843,509 is 8869228290.

Find LCM of 954,130,843,509 with Prime Factorization


2 954, 130, 843, 509
3 477, 65, 843, 509
159, 65, 281, 509

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

2 x 3 x 159 x 65 x 281 x 509 = 8869228290

Therefore, the lowest common multiple of 954,130,843,509 is 8869228290.

LCM Formula to Find Lowest Common Multiple of 954,130,843,509

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.

954 x 130 x 843 x 509 = 53215369740

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.

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

130 : 1, 2, 5, 10, 13, 26, 65, 130

843 : 1, 3, 281, 843

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,130,843,509, is 1.

Now, the common factors can be found like this.

954:2x 3x 3x 53

130:2x 5x 13

843:3x 281

509:509

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 53215369740/(1x6)

LCM = 53215369740/6

LCM = 8869228290

Thus, we can understand that the LCM of 954,130,843,509 is 8869228290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 954, 130, 843, 509

1. What is the LCM of 954, 130, 843, 509?

Answer: LCM of 954, 130, 843, 509 is 8869228290.

2. How to calculate the LCM of 954, 130, 843, 509?

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 954, 130, 843, 509.

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}.