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LCM of 287, 989, 291, 795, 582

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


Find the LCM of 287, 989, 291, 795, 582 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 287, 989, 291, 795, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,989,291,795,582

Given numbers are 287,989,291,795,582

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

The LCM of 287,989,291,795,582 is 43777105890.

Find LCM of 287,989,291,795,582 with Prime Factorization


3 287, 989, 291, 795, 582
97 287, 989, 97, 265, 194
287, 989, 1, 265, 2

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

3 x 97 x 287 x 989 x 1 x 265 x 2 = 43777105890

Therefore, the lowest common multiple of 287,989,291,795,582 is 43777105890.

LCM Formula to Find Lowest Common Multiple of 287,989,291,795,582

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.

287 x 989 x 291 x 795 x 582 = 38217413441970

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.

287 : 1, 7, 41, 287

989 : 1, 23, 43, 989

291 : 1, 3, 97, 291

795 : 1, 3, 5, 15, 53, 159, 265, 795

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,989,291,795,582, is 1.

Now, the common factors can be found like this.

287:7x 41

989:23x 43

291:3x 97

795:3x 5x 53

582:2x 3x 97

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

3x 3x 97 = 873

Therefore, the value for common factors is 873.

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 = 38217413441970/(1x873)

LCM = 38217413441970/873

LCM = 43777105890

Thus, we can understand that the LCM of 287,989,291,795,582 is 43777105890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 989, 291, 795, 582

1. What is the LCM of 287, 989, 291, 795, 582?

Answer: LCM of 287, 989, 291, 795, 582 is 43777105890.

2. How to calculate the LCM of 287, 989, 291, 795, 582?

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 287, 989, 291, 795, 582.

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}.