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LCM of 571, 946, 556, 382

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


Find the LCM of 571, 946, 556, 382 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 571, 946, 556, 382. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,946,556,382

Given numbers are 571,946,556,382

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

The LCM of 571,946,556,382 is 28681734268.

Find LCM of 571,946,556,382 with Prime Factorization


2 571, 946, 556, 382
571, 473, 278, 191

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

2 x 571 x 473 x 278 x 191 = 28681734268

Therefore, the lowest common multiple of 571,946,556,382 is 28681734268.

LCM Formula to Find Lowest Common Multiple of 571,946,556,382

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.

571 x 946 x 556 x 382 = 114726937072

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.

571 : 1, 571

946 : 1, 2, 11, 22, 43, 86, 473, 946

556 : 1, 2, 4, 139, 278, 556

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,946,556,382, is 1.

Now, the common factors can be found like this.

571:571

946:2x 11x 43

556:2x 2x 139

382:2x 191

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 = 114726937072/(1x4)

LCM = 114726937072/4

LCM = 28681734268

Thus, we can understand that the LCM of 571,946,556,382 is 28681734268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 946, 556, 382

1. What is the LCM of 571, 946, 556, 382?

Answer: LCM of 571, 946, 556, 382 is 28681734268.

2. How to calculate the LCM of 571, 946, 556, 382?

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 571, 946, 556, 382.

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}.