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LCM of 561, 418, 257, 925

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


Find the LCM of 561, 418, 257, 925 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 561, 418, 257, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,418,257,925

Given numbers are 561,418,257,925

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

The LCM of 561,418,257,925 is 5067821550.

Find LCM of 561,418,257,925 with Prime Factorization


11 561, 418, 257, 925
51, 38, 257, 925

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

11 x 51 x 38 x 257 x 925 = 5067821550

Therefore, the lowest common multiple of 561,418,257,925 is 5067821550.

LCM Formula to Find Lowest Common Multiple of 561,418,257,925

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.

561 x 418 x 257 x 925 = 55746037050

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.

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

257 : 1, 257

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,418,257,925, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

418:2x 11x 19

257:257

925:5x 5x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 55746037050/(1x11)

LCM = 55746037050/11

LCM = 5067821550

Thus, we can understand that the LCM of 561,418,257,925 is 5067821550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 418, 257, 925

1. What is the LCM of 561, 418, 257, 925?

Answer: LCM of 561, 418, 257, 925 is 5067821550.

2. How to calculate the LCM of 561, 418, 257, 925?

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 561, 418, 257, 925.

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}.