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LCM of 561, 733, 138, 138, 411

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


Find the LCM of 561, 733, 138, 138, 411 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, 733, 138, 138, 411. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,733,138,138,411

Given numbers are 561,733,138,138,411

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

The LCM of 561,733,138,138,411 is 2591464326.

Find LCM of 561,733,138,138,411 with Prime Factorization


2 561, 733, 138, 138, 411
3 561, 733, 69, 69, 411
23 187, 733, 23, 23, 137
187, 733, 1, 1, 137

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

2 x 3 x 23 x 187 x 733 x 1 x 1 x 137 = 2591464326

Therefore, the lowest common multiple of 561,733,138,138,411 is 2591464326.

LCM Formula to Find Lowest Common Multiple of 561,733,138,138,411

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 733 x 138 x 138 x 411 = 3218598692892

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

733 : 1, 733

138 : 1, 2, 3, 6, 23, 46, 69, 138

138 : 1, 2, 3, 6, 23, 46, 69, 138

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,733,138,138,411, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

733:733

138:2x 3x 23

138:2x 3x 23

411:3x 137

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

2x 3x 3x 3x 23 = 1242

Therefore, the value for common factors is 1242.

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 = 3218598692892/(1x1242)

LCM = 3218598692892/1242

LCM = 2591464326

Thus, we can understand that the LCM of 561,733,138,138,411 is 2591464326.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 733, 138, 138, 411

1. What is the LCM of 561, 733, 138, 138, 411?

Answer: LCM of 561, 733, 138, 138, 411 is 2591464326.

2. How to calculate the LCM of 561, 733, 138, 138, 411?

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, 733, 138, 138, 411.

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}.