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LCM of 561, 747, 165, 400

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


Find the LCM of 561, 747, 165, 400 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, 747, 165, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,747,165,400

Given numbers are 561,747,165,400

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

The LCM of 561,747,165,400 is 55875600.

Find LCM of 561,747,165,400 with Prime Factorization


3 561, 747, 165, 400
5 187, 249, 55, 400
11 187, 249, 11, 80
17, 249, 1, 80

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

3 x 5 x 11 x 17 x 249 x 1 x 80 = 55875600

Therefore, the lowest common multiple of 561,747,165,400 is 55875600.

LCM Formula to Find Lowest Common Multiple of 561,747,165,400

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 747 x 165 x 400 = 27658422000

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

747 : 1, 3, 9, 83, 249, 747

165 : 1, 3, 5, 11, 15, 33, 55, 165

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,747,165,400, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

747:3x 3x 83

165:3x 5x 11

400:2x 2x 2x 2x 5x 5

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

3x 3x 5x 11 = 495

Therefore, the value for common factors is 495.

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 = 27658422000/(1x495)

LCM = 27658422000/495

LCM = 55875600

Thus, we can understand that the LCM of 561,747,165,400 is 55875600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 747, 165, 400

1. What is the LCM of 561, 747, 165, 400?

Answer: LCM of 561, 747, 165, 400 is 55875600.

2. How to calculate the LCM of 561, 747, 165, 400?

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, 747, 165, 400.

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}.