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LCM of 286, 554, 736, 582, 426

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


Find the LCM of 286, 554, 736, 582, 426 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 286, 554, 736, 582, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,554,736,582,426

Given numbers are 286,554,736,582,426

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

The LCM of 286,554,736,582,426 is 602344513056.

Find LCM of 286,554,736,582,426 with Prime Factorization


2 286, 554, 736, 582, 426
3 143, 277, 368, 291, 213
143, 277, 368, 97, 71

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

2 x 3 x 143 x 277 x 368 x 97 x 71 = 602344513056

Therefore, the lowest common multiple of 286,554,736,582,426 is 602344513056.

LCM Formula to Find Lowest Common Multiple of 286,554,736,582,426

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.

286 x 554 x 736 x 582 x 426 = 28912536626688

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.

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

554 : 1, 2, 277, 554

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

582 : 1, 2, 3, 6, 97, 194, 291, 582

426 : 1, 2, 3, 6, 71, 142, 213, 426

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,554,736,582,426, is 2.

Now, the common factors can be found like this.

286:2x 11x 13

554:2x 277

736:2x 2x 2x 2x 2x 23

582:2x 3x 97

426:2x 3x 71

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 3 = 24

Therefore, the value for common factors is 24.

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 = 28912536626688/(2x24)

LCM = 28912536626688/48

LCM = 602344513056

Thus, we can understand that the LCM of 286,554,736,582,426 is 602344513056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 554, 736, 582, 426

1. What is the LCM of 286, 554, 736, 582, 426?

Answer: LCM of 286, 554, 736, 582, 426 is 602344513056.

2. How to calculate the LCM of 286, 554, 736, 582, 426?

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 286, 554, 736, 582, 426.

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}.