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LCM of 571, 286, 253, 656

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


Find the LCM of 571, 286, 253, 656 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, 286, 253, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,286,253,656

Given numbers are 571,286,253,656

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

The LCM of 571,286,253,656 is 1231980464.

Find LCM of 571,286,253,656 with Prime Factorization


2 571, 286, 253, 656
11 571, 143, 253, 328
571, 13, 23, 328

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

2 x 11 x 571 x 13 x 23 x 328 = 1231980464

Therefore, the lowest common multiple of 571,286,253,656 is 1231980464.

LCM Formula to Find Lowest Common Multiple of 571,286,253,656

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 286 x 253 x 656 = 27103570208

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

253 : 1, 11, 23, 253

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,286,253,656, is 1.

Now, the common factors can be found like this.

571:571

286:2x 11x 13

253:11x 23

656:2x 2x 2x 2x 41

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 27103570208/(1x22)

LCM = 27103570208/22

LCM = 1231980464

Thus, we can understand that the LCM of 571,286,253,656 is 1231980464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 286, 253, 656

1. What is the LCM of 571, 286, 253, 656?

Answer: LCM of 571, 286, 253, 656 is 1231980464.

2. How to calculate the LCM of 571, 286, 253, 656?

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, 286, 253, 656.

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}.