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LCM of 776, 561, 481, 850

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


Find the LCM of 776, 561, 481, 850 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, 561, 481, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,561,481,850

Given numbers are 776,561,481,850

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

The LCM of 776,561,481,850 is 5234915400.

Find LCM of 776,561,481,850 with Prime Factorization


2 776, 561, 481, 850
17 388, 561, 481, 425
388, 33, 481, 25

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

2 x 17 x 388 x 33 x 481 x 25 = 5234915400

Therefore, the lowest common multiple of 776,561,481,850 is 5234915400.

LCM Formula to Find Lowest Common Multiple of 776,561,481,850

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 561 x 481 x 850 = 177987123600

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

481 : 1, 13, 37, 481

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,561,481,850, is 1.

Now, the common factors can be found like this.

776:2x 2x 2x 97

561:3x 11x 17

481:13x 37

850:2x 5x 5x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 177987123600/(1x34)

LCM = 177987123600/34

LCM = 5234915400

Thus, we can understand that the LCM of 776,561,481,850 is 5234915400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 561, 481, 850

1. What is the LCM of 776, 561, 481, 850?

Answer: LCM of 776, 561, 481, 850 is 5234915400.

2. How to calculate the LCM of 776, 561, 481, 850?

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, 561, 481, 850.

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}.