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LCM of 775, 791, 163, 899, 865

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


Find the LCM of 775, 791, 163, 899, 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 775, 791, 163, 899, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 775,791,163,899,865

Given numbers are 775,791,163,899,865

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

The LCM of 775,791,163,899,865 is 501314067275.

Find LCM of 775,791,163,899,865 with Prime Factorization


5 775, 791, 163, 899, 865
31 155, 791, 163, 899, 173
5, 791, 163, 29, 173

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

5 x 31 x 5 x 791 x 163 x 29 x 173 = 501314067275

Therefore, the lowest common multiple of 775,791,163,899,865 is 501314067275.

LCM Formula to Find Lowest Common Multiple of 775,791,163,899,865

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.

775 x 791 x 163 x 899 x 865 = 77703680427625

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.

775 : 1, 5, 25, 31, 155, 775

791 : 1, 7, 113, 791

163 : 1, 163

899 : 1, 29, 31, 899

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,791,163,899,865, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

791:7x 113

163:163

899:29x 31

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 31 = 155

Therefore, the value for common factors is 155.

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 = 77703680427625/(1x155)

LCM = 77703680427625/155

LCM = 501314067275

Thus, we can understand that the LCM of 775,791,163,899,865 is 501314067275.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 775, 791, 163, 899, 865

1. What is the LCM of 775, 791, 163, 899, 865?

Answer: LCM of 775, 791, 163, 899, 865 is 501314067275.

2. How to calculate the LCM of 775, 791, 163, 899, 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 775, 791, 163, 899, 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}.