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LCM of 571, 455, 185, 970, 960

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


Find the LCM of 571, 455, 185, 970, 960 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, 455, 185, 970, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,455,185,970,960

Given numbers are 571,455,185,970,960

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

The LCM of 571,455,185,970,960 is 179028507840.

Find LCM of 571,455,185,970,960 with Prime Factorization


2 571, 455, 185, 970, 960
5 571, 455, 185, 485, 480
571, 91, 37, 97, 96

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

2 x 5 x 571 x 91 x 37 x 97 x 96 = 179028507840

Therefore, the lowest common multiple of 571,455,185,970,960 is 179028507840.

LCM Formula to Find Lowest Common Multiple of 571,455,185,970,960

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 455 x 185 x 970 x 960 = 44757126960000

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

185 : 1, 5, 37, 185

970 : 1, 2, 5, 10, 97, 194, 485, 970

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,455,185,970,960, is 1.

Now, the common factors can be found like this.

571:571

455:5x 7x 13

185:5x 37

970:2x 5x 97

960:2x 2x 2x 2x 2x 2x 3x 5

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

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

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 = 44757126960000/(1x250)

LCM = 44757126960000/250

LCM = 179028507840

Thus, we can understand that the LCM of 571,455,185,970,960 is 179028507840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 455, 185, 970, 960

1. What is the LCM of 571, 455, 185, 970, 960?

Answer: LCM of 571, 455, 185, 970, 960 is 179028507840.

2. How to calculate the LCM of 571, 455, 185, 970, 960?

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, 455, 185, 970, 960.

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}.