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LCM of 561, 418, 662, 109

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


Find the LCM of 561, 418, 662, 109 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, 418, 662, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,418,662,109

Given numbers are 561,418,662,109

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

The LCM of 561,418,662,109 is 769132122.

Find LCM of 561,418,662,109 with Prime Factorization


2 561, 418, 662, 109
11 561, 209, 331, 109
51, 19, 331, 109

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

2 x 11 x 51 x 19 x 331 x 109 = 769132122

Therefore, the lowest common multiple of 561,418,662,109 is 769132122.

LCM Formula to Find Lowest Common Multiple of 561,418,662,109

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 418 x 662 x 109 = 16920906684

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

662 : 1, 2, 331, 662

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,418,662,109, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

418:2x 11x 19

662:2x 331

109:109

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 16920906684/(1x22)

LCM = 16920906684/22

LCM = 769132122

Thus, we can understand that the LCM of 561,418,662,109 is 769132122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 418, 662, 109

1. What is the LCM of 561, 418, 662, 109?

Answer: LCM of 561, 418, 662, 109 is 769132122.

2. How to calculate the LCM of 561, 418, 662, 109?

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, 418, 662, 109.

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}.