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LCM of 561, 836, 727, 265

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


Find the LCM of 561, 836, 727, 265 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 561, 836, 727, 265. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,836,727,265

Given numbers are 561,836,727,265

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

The LCM of 561,836,727,265 is 8214038580.

Find LCM of 561,836,727,265 with Prime Factorization


11 561, 836, 727, 265
51, 76, 727, 265

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

11 x 51 x 76 x 727 x 265 = 8214038580

Therefore, the lowest common multiple of 561,836,727,265 is 8214038580.

LCM Formula to Find Lowest Common Multiple of 561,836,727,265

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.

561 x 836 x 727 x 265 = 90354424380

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

727 : 1, 727

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,836,727,265, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

836:2x 2x 11x 19

727:727

265:5x 53

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

11 = 11

Therefore, the value for common factors is 11.

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 = 90354424380/(1x11)

LCM = 90354424380/11

LCM = 8214038580

Thus, we can understand that the LCM of 561,836,727,265 is 8214038580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 836, 727, 265

1. What is the LCM of 561, 836, 727, 265?

Answer: LCM of 561, 836, 727, 265 is 8214038580.

2. How to calculate the LCM of 561, 836, 727, 265?

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 561, 836, 727, 265.

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}.