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LCM of 776, 963, 321, 517

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


Find the LCM of 776, 963, 321, 517 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 776, 963, 321, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,963,321,517

Given numbers are 776,963,321,517

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

The LCM of 776,963,321,517 is 386347896.

Find LCM of 776,963,321,517 with Prime Factorization


3 776, 963, 321, 517
107 776, 321, 107, 517
776, 3, 1, 517

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

3 x 107 x 776 x 3 x 1 x 517 = 386347896

Therefore, the lowest common multiple of 776,963,321,517 is 386347896.

LCM Formula to Find Lowest Common Multiple of 776,963,321,517

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.

776 x 963 x 321 x 517 = 124017674616

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

963 : 1, 3, 9, 107, 321, 963

321 : 1, 3, 107, 321

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,963,321,517, is 1.

Now, the common factors can be found like this.

776:2x 2x 2x 97

963:3x 3x 107

321:3x 107

517:11x 47

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 124017674616/(1x321)

LCM = 124017674616/321

LCM = 386347896

Thus, we can understand that the LCM of 776,963,321,517 is 386347896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 963, 321, 517

1. What is the LCM of 776, 963, 321, 517?

Answer: LCM of 776, 963, 321, 517 is 386347896.

2. How to calculate the LCM of 776, 963, 321, 517?

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 776, 963, 321, 517.

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}.