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LCM of 865, 515, 973, 865

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


Find the LCM of 865, 515, 973, 865 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 865, 515, 973, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,515,973,865

Given numbers are 865,515,973,865

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

The LCM of 865,515,973,865 is 86689435.

Find LCM of 865,515,973,865 with Prime Factorization


5 865, 515, 973, 865
173 173, 103, 973, 173
1, 103, 973, 1

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

5 x 173 x 1 x 103 x 973 x 1 = 86689435

Therefore, the lowest common multiple of 865,515,973,865 is 86689435.

LCM Formula to Find Lowest Common Multiple of 865,515,973,865

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.

865 x 515 x 973 x 865 = 374931806375

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.

865 : 1, 5, 173, 865

515 : 1, 5, 103, 515

973 : 1, 7, 139, 973

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,515,973,865, is 1.

Now, the common factors can be found like this.

865:5x 173

515:5x 103

973:7x 139

865:5x 173

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

5x 5x 173 = 4325

Therefore, the value for common factors is 4325.

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 = 374931806375/(1x4325)

LCM = 374931806375/4325

LCM = 86689435

Thus, we can understand that the LCM of 865,515,973,865 is 86689435.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 515, 973, 865

1. What is the LCM of 865, 515, 973, 865?

Answer: LCM of 865, 515, 973, 865 is 86689435.

2. How to calculate the LCM of 865, 515, 973, 865?

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 865, 515, 973, 865.

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}.