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LCM of 982, 437, 622, 585

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


Find the LCM of 982, 437, 622, 585 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 982, 437, 622, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,437,622,585

Given numbers are 982,437,622,585

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

The LCM of 982,437,622,585 is 78074494290.

Find LCM of 982,437,622,585 with Prime Factorization


2 982, 437, 622, 585
491, 437, 311, 585

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

2 x 491 x 437 x 311 x 585 = 78074494290

Therefore, the lowest common multiple of 982,437,622,585 is 78074494290.

LCM Formula to Find Lowest Common Multiple of 982,437,622,585

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.

982 x 437 x 622 x 585 = 156148988580

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.

982 : 1, 2, 491, 982

437 : 1, 19, 23, 437

622 : 1, 2, 311, 622

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,437,622,585, is 1.

Now, the common factors can be found like this.

982:2x 491

437:19x 23

622:2x 311

585:3x 3x 5x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 156148988580/(1x2)

LCM = 156148988580/2

LCM = 78074494290

Thus, we can understand that the LCM of 982,437,622,585 is 78074494290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 437, 622, 585

1. What is the LCM of 982, 437, 622, 585?

Answer: LCM of 982, 437, 622, 585 is 78074494290.

2. How to calculate the LCM of 982, 437, 622, 585?

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 982, 437, 622, 585.

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}.