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LCM of 814, 772, 535, 782

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


Find the LCM of 814, 772, 535, 782 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 814, 772, 535, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,772,535,782

Given numbers are 814,772,535,782

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

The LCM of 814,772,535,782 is 65726763740.

Find LCM of 814,772,535,782 with Prime Factorization


2 814, 772, 535, 782
407, 386, 535, 391

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

2 x 407 x 386 x 535 x 391 = 65726763740

Therefore, the lowest common multiple of 814,772,535,782 is 65726763740.

LCM Formula to Find Lowest Common Multiple of 814,772,535,782

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.

814 x 772 x 535 x 782 = 262907054960

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

772 : 1, 2, 4, 193, 386, 772

535 : 1, 5, 107, 535

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,772,535,782, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

772:2x 2x 193

535:5x 107

782:2x 17x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 262907054960/(1x4)

LCM = 262907054960/4

LCM = 65726763740

Thus, we can understand that the LCM of 814,772,535,782 is 65726763740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 772, 535, 782

1. What is the LCM of 814, 772, 535, 782?

Answer: LCM of 814, 772, 535, 782 is 65726763740.

2. How to calculate the LCM of 814, 772, 535, 782?

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 814, 772, 535, 782.

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}.