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LCM of 861, 738, 501, 597, 515

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


Find the LCM of 861, 738, 501, 597, 515 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 861, 738, 501, 597, 515. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,738,501,597,515

Given numbers are 861,738,501,597,515

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

The LCM of 861,738,501,597,515 is 88416064170.

Find LCM of 861,738,501,597,515 with Prime Factorization


3 861, 738, 501, 597, 515
41 287, 246, 167, 199, 515
7, 6, 167, 199, 515

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

3 x 41 x 7 x 6 x 167 x 199 x 515 = 88416064170

Therefore, the lowest common multiple of 861,738,501,597,515 is 88416064170.

LCM Formula to Find Lowest Common Multiple of 861,738,501,597,515

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.

861 x 738 x 501 x 597 x 515 = 97876583036190

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

501 : 1, 3, 167, 501

597 : 1, 3, 199, 597

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,738,501,597,515, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

738:2x 3x 3x 41

501:3x 167

597:3x 199

515:5x 103

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 3x 41 = 1107

Therefore, the value for common factors is 1107.

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 = 97876583036190/(1x1107)

LCM = 97876583036190/1107

LCM = 88416064170

Thus, we can understand that the LCM of 861,738,501,597,515 is 88416064170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 738, 501, 597, 515

1. What is the LCM of 861, 738, 501, 597, 515?

Answer: LCM of 861, 738, 501, 597, 515 is 88416064170.

2. How to calculate the LCM of 861, 738, 501, 597, 515?

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 861, 738, 501, 597, 515.

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}.