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LCM of 577, 407, 966, 259

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


Find the LCM of 577, 407, 966, 259 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 577, 407, 966, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,407,966,259

Given numbers are 577,407,966,259

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

The LCM of 577,407,966,259 is 226854474.

Find LCM of 577,407,966,259 with Prime Factorization


7 577, 407, 966, 259
37 577, 407, 138, 37
577, 11, 138, 1

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

7 x 37 x 577 x 11 x 138 x 1 = 226854474

Therefore, the lowest common multiple of 577,407,966,259 is 226854474.

LCM Formula to Find Lowest Common Multiple of 577,407,966,259

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.

577 x 407 x 966 x 259 = 58755308766

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.

577 : 1, 577

407 : 1, 11, 37, 407

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,407,966,259, is 1.

Now, the common factors can be found like this.

577:577

407:11x 37

966:2x 3x 7x 23

259:7x 37

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

7x 37 = 259

Therefore, the value for common factors is 259.

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 = 58755308766/(1x259)

LCM = 58755308766/259

LCM = 226854474

Thus, we can understand that the LCM of 577,407,966,259 is 226854474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 407, 966, 259

1. What is the LCM of 577, 407, 966, 259?

Answer: LCM of 577, 407, 966, 259 is 226854474.

2. How to calculate the LCM of 577, 407, 966, 259?

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 577, 407, 966, 259.

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}.