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LCM of 484, 468, 286, 826, 536

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


Find the LCM of 484, 468, 286, 826, 536 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 484, 468, 286, 826, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,468,286,826,536

Given numbers are 484,468,286,826,536

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

The LCM of 484,468,286,826,536 is 3133906776.

Find LCM of 484,468,286,826,536 with Prime Factorization


2 484, 468, 286, 826, 536
2 242, 234, 143, 413, 268
11 121, 117, 143, 413, 134
13 11, 117, 13, 413, 134
11, 9, 1, 413, 134

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

2 x 2 x 11 x 13 x 11 x 9 x 1 x 413 x 134 = 3133906776

Therefore, the lowest common multiple of 484,468,286,826,536 is 3133906776.

LCM Formula to Find Lowest Common Multiple of 484,468,286,826,536

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.

484 x 468 x 286 x 826 x 536 = 28681514813952

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

826 : 1, 2, 7, 14, 59, 118, 413, 826

536 : 1, 2, 4, 8, 67, 134, 268, 536

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,468,286,826,536, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

468:2x 2x 3x 3x 13

286:2x 11x 13

826:2x 7x 59

536:2x 2x 2x 67

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 2x 2x 11x 13 = 4576

Therefore, the value for common factors is 4576.

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 = 28681514813952/(2x4576)

LCM = 28681514813952/9152

LCM = 3133906776

Thus, we can understand that the LCM of 484,468,286,826,536 is 3133906776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 468, 286, 826, 536

1. What is the LCM of 484, 468, 286, 826, 536?

Answer: LCM of 484, 468, 286, 826, 536 is 3133906776.

2. How to calculate the LCM of 484, 468, 286, 826, 536?

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 484, 468, 286, 826, 536.

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}.