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LCM of 175, 482, 566, 566, 611

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


Find the LCM of 175, 482, 566, 566, 611 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 175, 482, 566, 566, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 175,482,566,566,611

Given numbers are 175,482,566,566,611

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

The LCM of 175,482,566,566,611 is 14585211550.

Find LCM of 175,482,566,566,611 with Prime Factorization


2 175, 482, 566, 566, 611
283 175, 241, 283, 283, 611
175, 241, 1, 1, 611

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

2 x 283 x 175 x 241 x 1 x 1 x 611 = 14585211550

Therefore, the lowest common multiple of 175,482,566,566,611 is 14585211550.

LCM Formula to Find Lowest Common Multiple of 175,482,566,566,611

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.

175 x 482 x 566 x 566 x 611 = 16510459474600

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.

175 : 1, 5, 7, 25, 35, 175

482 : 1, 2, 241, 482

566 : 1, 2, 283, 566

566 : 1, 2, 283, 566

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,482,566,566,611, is 1.

Now, the common factors can be found like this.

175:5x 5x 7

482:2x 241

566:2x 283

566:2x 283

611:13x 47

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 283 = 1132

Therefore, the value for common factors is 1132.

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 = 16510459474600/(1x1132)

LCM = 16510459474600/1132

LCM = 14585211550

Thus, we can understand that the LCM of 175,482,566,566,611 is 14585211550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 175, 482, 566, 566, 611

1. What is the LCM of 175, 482, 566, 566, 611?

Answer: LCM of 175, 482, 566, 566, 611 is 14585211550.

2. How to calculate the LCM of 175, 482, 566, 566, 611?

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 175, 482, 566, 566, 611.

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}.