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LCM of 565, 951, 601, 547, 465

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


Find the LCM of 565, 951, 601, 547, 465 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 565, 951, 601, 547, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,951,601,547,465

Given numbers are 565,951,601,547,465

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

The LCM of 565,951,601,547,465 is 5475861523455.

Find LCM of 565,951,601,547,465 with Prime Factorization


3 565, 951, 601, 547, 465
5 565, 317, 601, 547, 155
113, 317, 601, 547, 31

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

3 x 5 x 113 x 317 x 601 x 547 x 31 = 5475861523455

Therefore, the lowest common multiple of 565,951,601,547,465 is 5475861523455.

LCM Formula to Find Lowest Common Multiple of 565,951,601,547,465

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.

565 x 951 x 601 x 547 x 465 = 82137922851825

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.

565 : 1, 5, 113, 565

951 : 1, 3, 317, 951

601 : 1, 601

547 : 1, 547

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,951,601,547,465, is 1.

Now, the common factors can be found like this.

565:5x 113

951:3x 317

601:601

547:547

465:3x 5x 31

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 82137922851825/(1x15)

LCM = 82137922851825/15

LCM = 5475861523455

Thus, we can understand that the LCM of 565,951,601,547,465 is 5475861523455.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 951, 601, 547, 465

1. What is the LCM of 565, 951, 601, 547, 465?

Answer: LCM of 565, 951, 601, 547, 465 is 5475861523455.

2. How to calculate the LCM of 565, 951, 601, 547, 465?

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 565, 951, 601, 547, 465.

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}.