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LCM of 961, 819, 713, 528, 759

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


Find the LCM of 961, 819, 713, 528, 759 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 961, 819, 713, 528, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,819,713,528,759

Given numbers are 961,819,713,528,759

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

The LCM of 961,819,713,528,759 is 3186014832.

Find LCM of 961,819,713,528,759 with Prime Factorization


3 961, 819, 713, 528, 759
11 961, 273, 713, 176, 253
23 961, 273, 713, 16, 23
31 961, 273, 31, 16, 1
1, 273, 31, 16, 1

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

3 x 11 x 23 x 31 x 1 x 273 x 31 x 16 x 1 = 3186014832

Therefore, the lowest common multiple of 961,819,713,528,759 is 3186014832.

LCM Formula to Find Lowest Common Multiple of 961,819,713,528,759

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.

961 x 819 x 713 x 528 x 759 = 224891228946384

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.

961 : 1, 31, 961

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

713 : 1, 23, 31, 713

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,819,713,528,759, is 1.

Now, the common factors can be found like this.

961:31x 31

819:3x 3x 7x 13

713:23x 31

528:2x 2x 2x 2x 3x 11

759:3x 11x 23

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 11x 23x 31 = 70587

Therefore, the value for common factors is 70587.

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 = 224891228946384/(1x70587)

LCM = 224891228946384/70587

LCM = 3186014832

Thus, we can understand that the LCM of 961,819,713,528,759 is 3186014832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 819, 713, 528, 759

1. What is the LCM of 961, 819, 713, 528, 759?

Answer: LCM of 961, 819, 713, 528, 759 is 3186014832.

2. How to calculate the LCM of 961, 819, 713, 528, 759?

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 961, 819, 713, 528, 759.

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}.