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LCM of 365, 306, 109, 561

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


Find the LCM of 365, 306, 109, 561 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 365, 306, 109, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,306,109,561

Given numbers are 365,306,109,561

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

The LCM of 365,306,109,561 is 133916310.

Find LCM of 365,306,109,561 with Prime Factorization


3 365, 306, 109, 561
17 365, 102, 109, 187
365, 6, 109, 11

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

3 x 17 x 365 x 6 x 109 x 11 = 133916310

Therefore, the lowest common multiple of 365,306,109,561 is 133916310.

LCM Formula to Find Lowest Common Multiple of 365,306,109,561

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.

365 x 306 x 109 x 561 = 6829731810

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.

365 : 1, 5, 73, 365

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

109 : 1, 109

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,306,109,561, is 1.

Now, the common factors can be found like this.

365:5x 73

306:2x 3x 3x 17

109:109

561:3x 11x 17

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 6829731810/(1x51)

LCM = 6829731810/51

LCM = 133916310

Thus, we can understand that the LCM of 365,306,109,561 is 133916310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 306, 109, 561

1. What is the LCM of 365, 306, 109, 561?

Answer: LCM of 365, 306, 109, 561 is 133916310.

2. How to calculate the LCM of 365, 306, 109, 561?

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 365, 306, 109, 561.

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}.