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LCM of 221, 523, 836, 523, 645

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


Find the LCM of 221, 523, 836, 523, 645 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 221, 523, 836, 523, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,523,836,523,645

Given numbers are 221,523,836,523,645

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

The LCM of 221,523,836,523,645 is 62324665260.

Find LCM of 221,523,836,523,645 with Prime Factorization


523 221, 523, 836, 523, 645
221, 1, 836, 1, 645

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

523 x 221 x 1 x 836 x 1 x 645 = 62324665260

Therefore, the lowest common multiple of 221,523,836,523,645 is 62324665260.

LCM Formula to Find Lowest Common Multiple of 221,523,836,523,645

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.

221 x 523 x 836 x 523 x 645 = 32595799930980

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.

221 : 1, 13, 17, 221

523 : 1, 523

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

523 : 1, 523

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,523,836,523,645, is 1.

Now, the common factors can be found like this.

221:13x 17

523:523

836:2x 2x 11x 19

523:523

645:3x 5x 43

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

523 = 523

Therefore, the value for common factors is 523.

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 = 32595799930980/(1x523)

LCM = 32595799930980/523

LCM = 62324665260

Thus, we can understand that the LCM of 221,523,836,523,645 is 62324665260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 523, 836, 523, 645

1. What is the LCM of 221, 523, 836, 523, 645?

Answer: LCM of 221, 523, 836, 523, 645 is 62324665260.

2. How to calculate the LCM of 221, 523, 836, 523, 645?

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 221, 523, 836, 523, 645.

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}.