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LCM of 523, 512, 582, 768, 686

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


Find the LCM of 523, 512, 582, 768, 686 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 523, 512, 582, 768, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,512,582,768,686

Given numbers are 523,512,582,768,686

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

The LCM of 523,512,582,768,686 is 26727525888.

Find LCM of 523,512,582,768,686 with Prime Factorization


2 523, 512, 582, 768, 686
2 523, 256, 291, 384, 343
2 523, 128, 291, 192, 343
2 523, 64, 291, 96, 343
2 523, 32, 291, 48, 343
2 523, 16, 291, 24, 343
2 523, 8, 291, 12, 343
2 523, 4, 291, 6, 343
3 523, 2, 291, 3, 343
523, 2, 97, 1, 343

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 523 x 2 x 97 x 1 x 343 = 26727525888

Therefore, the lowest common multiple of 523,512,582,768,686 is 26727525888.

LCM Formula to Find Lowest Common Multiple of 523,512,582,768,686

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.

523 x 512 x 582 x 768 x 686 = 82106959527936

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.

523 : 1, 523

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,512,582,768,686, is 1.

Now, the common factors can be found like this.

523:523

512:2x 2x 2x 2x 2x 2x 2x 2x 2

582:2x 3x 97

768:2x 2x 2x 2x 2x 2x 2x 2x 3

686:2x 7x 7x 7

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 2x 2x 2x 2x 2x 3 = 3072

Therefore, the value for common factors is 3072.

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 = 82106959527936/(1x3072)

LCM = 82106959527936/3072

LCM = 26727525888

Thus, we can understand that the LCM of 523,512,582,768,686 is 26727525888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 512, 582, 768, 686

1. What is the LCM of 523, 512, 582, 768, 686?

Answer: LCM of 523, 512, 582, 768, 686 is 26727525888.

2. How to calculate the LCM of 523, 512, 582, 768, 686?

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 523, 512, 582, 768, 686.

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}.