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LCM of 517, 597, 561, 784, 875

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


Find the LCM of 517, 597, 561, 784, 875 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 517, 597, 561, 784, 875. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,597,561,784,875

Given numbers are 517,597,561,784,875

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

The LCM of 517,597,561,784,875 is 514209234000.

Find LCM of 517,597,561,784,875 with Prime Factorization


3 517, 597, 561, 784, 875
7 517, 199, 187, 784, 875
11 517, 199, 187, 112, 125
47, 199, 17, 112, 125

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

3 x 7 x 11 x 47 x 199 x 17 x 112 x 125 = 514209234000

Therefore, the lowest common multiple of 517,597,561,784,875 is 514209234000.

LCM Formula to Find Lowest Common Multiple of 517,597,561,784,875

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.

517 x 597 x 561 x 784 x 875 = 118782333054000

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.

517 : 1, 11, 47, 517

597 : 1, 3, 199, 597

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,597,561,784,875, is 1.

Now, the common factors can be found like this.

517:11x 47

597:3x 199

561:3x 11x 17

784:2x 2x 2x 2x 7x 7

875:5x 5x 5x 7

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

3x 7x 11 = 231

Therefore, the value for common factors is 231.

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 = 118782333054000/(1x231)

LCM = 118782333054000/231

LCM = 514209234000

Thus, we can understand that the LCM of 517,597,561,784,875 is 514209234000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 597, 561, 784, 875

1. What is the LCM of 517, 597, 561, 784, 875?

Answer: LCM of 517, 597, 561, 784, 875 is 514209234000.

2. How to calculate the LCM of 517, 597, 561, 784, 875?

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 517, 597, 561, 784, 875.

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}.