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LCM of 571, 120, 969, 493, 621

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


Find the LCM of 571, 120, 969, 493, 621 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 571, 120, 969, 493, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,120,969,493,621

Given numbers are 571,120,969,493,621

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

The LCM of 571,120,969,493,621 is 132858155880.

Find LCM of 571,120,969,493,621 with Prime Factorization


3 571, 120, 969, 493, 621
17 571, 40, 323, 493, 207
571, 40, 19, 29, 207

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

3 x 17 x 571 x 40 x 19 x 29 x 207 = 132858155880

Therefore, the lowest common multiple of 571,120,969,493,621 is 132858155880.

LCM Formula to Find Lowest Common Multiple of 571,120,969,493,621

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.

571 x 120 x 969 x 493 x 621 = 20327297849640

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.

571 : 1, 571

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

969 : 1, 3, 17, 19, 51, 57, 323, 969

493 : 1, 17, 29, 493

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,120,969,493,621, is 1.

Now, the common factors can be found like this.

571:571

120:2x 2x 2x 3x 5

969:3x 17x 19

493:17x 29

621:3x 3x 3x 23

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 17 = 153

Therefore, the value for common factors is 153.

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 = 20327297849640/(1x153)

LCM = 20327297849640/153

LCM = 132858155880

Thus, we can understand that the LCM of 571,120,969,493,621 is 132858155880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 120, 969, 493, 621

1. What is the LCM of 571, 120, 969, 493, 621?

Answer: LCM of 571, 120, 969, 493, 621 is 132858155880.

2. How to calculate the LCM of 571, 120, 969, 493, 621?

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 571, 120, 969, 493, 621.

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}.