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LCM of 582, 398, 760, 972, 575

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


Find the LCM of 582, 398, 760, 972, 575 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 582, 398, 760, 972, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,398,760,972,575

Given numbers are 582,398,760,972,575

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

The LCM of 582,398,760,972,575 is 409960974600.

Find LCM of 582,398,760,972,575 with Prime Factorization


2 582, 398, 760, 972, 575
2 291, 199, 380, 486, 575
3 291, 199, 190, 243, 575
5 97, 199, 190, 81, 575
97, 199, 38, 81, 115

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

2 x 2 x 3 x 5 x 97 x 199 x 38 x 81 x 115 = 409960974600

Therefore, the lowest common multiple of 582,398,760,972,575 is 409960974600.

LCM Formula to Find Lowest Common Multiple of 582,398,760,972,575

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.

582 x 398 x 760 x 972 x 575 = 98390633904000

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.

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

398 : 1, 2, 199, 398

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,398,760,972,575, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

398:2x 199

760:2x 2x 2x 5x 19

972:2x 2x 3x 3x 3x 3x 3

575:5x 5x 23

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 2x 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 98390633904000/(1x240)

LCM = 98390633904000/240

LCM = 409960974600

Thus, we can understand that the LCM of 582,398,760,972,575 is 409960974600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 398, 760, 972, 575

1. What is the LCM of 582, 398, 760, 972, 575?

Answer: LCM of 582, 398, 760, 972, 575 is 409960974600.

2. How to calculate the LCM of 582, 398, 760, 972, 575?

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 582, 398, 760, 972, 575.

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}.