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LCM of 121, 605, 319, 909

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


Find the LCM of 121, 605, 319, 909 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 121, 605, 319, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,605,319,909

Given numbers are 121,605,319,909

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

The LCM of 121,605,319,909 is 15948405.

Find LCM of 121,605,319,909 with Prime Factorization


11 121, 605, 319, 909
11 11, 55, 29, 909
1, 5, 29, 909

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

11 x 11 x 1 x 5 x 29 x 909 = 15948405

Therefore, the lowest common multiple of 121,605,319,909 is 15948405.

LCM Formula to Find Lowest Common Multiple of 121,605,319,909

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.

121 x 605 x 319 x 909 = 21227327055

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.

121 : 1, 11, 121

605 : 1, 5, 11, 55, 121, 605

319 : 1, 11, 29, 319

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,605,319,909, is 1.

Now, the common factors can be found like this.

121:11x 11

605:5x 11x 11

319:11x 29

909:3x 3x 101

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

11x 11x 11 = 1331

Therefore, the value for common factors is 1331.

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 = 21227327055/(1x1331)

LCM = 21227327055/1331

LCM = 15948405

Thus, we can understand that the LCM of 121,605,319,909 is 15948405.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 605, 319, 909

1. What is the LCM of 121, 605, 319, 909?

Answer: LCM of 121, 605, 319, 909 is 15948405.

2. How to calculate the LCM of 121, 605, 319, 909?

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 121, 605, 319, 909.

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}.