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LCM of 526, 572, 286, 757, 470

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


Find the LCM of 526, 572, 286, 757, 470 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 526, 572, 286, 757, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,572,286,757,470

Given numbers are 526,572,286,757,470

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

The LCM of 526,572,286,757,470 is 26761812220.

Find LCM of 526,572,286,757,470 with Prime Factorization


2 526, 572, 286, 757, 470
11 263, 286, 143, 757, 235
13 263, 26, 13, 757, 235
263, 2, 1, 757, 235

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

2 x 11 x 13 x 263 x 2 x 1 x 757 x 235 = 26761812220

Therefore, the lowest common multiple of 526,572,286,757,470 is 26761812220.

LCM Formula to Find Lowest Common Multiple of 526,572,286,757,470

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.

526 x 572 x 286 x 757 x 470 = 30615513179680

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.

526 : 1, 2, 263, 526

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

757 : 1, 757

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,572,286,757,470, is 1.

Now, the common factors can be found like this.

526:2x 263

572:2x 2x 11x 13

286:2x 11x 13

757:757

470:2x 5x 47

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

2x 2x 2x 11x 13 = 1144

Therefore, the value for common factors is 1144.

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 = 30615513179680/(1x1144)

LCM = 30615513179680/1144

LCM = 26761812220

Thus, we can understand that the LCM of 526,572,286,757,470 is 26761812220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 572, 286, 757, 470

1. What is the LCM of 526, 572, 286, 757, 470?

Answer: LCM of 526, 572, 286, 757, 470 is 26761812220.

2. How to calculate the LCM of 526, 572, 286, 757, 470?

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 526, 572, 286, 757, 470.

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}.