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LCM of 827, 233, 112, 588

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


Find the LCM of 827, 233, 112, 588 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 827, 233, 112, 588. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,233,112,588

Given numbers are 827,233,112,588

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

The LCM of 827,233,112,588 is 453209232.

Find LCM of 827,233,112,588 with Prime Factorization


2 827, 233, 112, 588
2 827, 233, 56, 294
7 827, 233, 28, 147
827, 233, 4, 21

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

2 x 2 x 7 x 827 x 233 x 4 x 21 = 453209232

Therefore, the lowest common multiple of 827,233,112,588 is 453209232.

LCM Formula to Find Lowest Common Multiple of 827,233,112,588

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.

827 x 233 x 112 x 588 = 12689858496

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.

827 : 1, 827

233 : 1, 233

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,233,112,588, is 1.

Now, the common factors can be found like this.

827:827

233:233

112:2x 2x 2x 2x 7

588:2x 2x 3x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 12689858496/(1x28)

LCM = 12689858496/28

LCM = 453209232

Thus, we can understand that the LCM of 827,233,112,588 is 453209232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 233, 112, 588

1. What is the LCM of 827, 233, 112, 588?

Answer: LCM of 827, 233, 112, 588 is 453209232.

2. How to calculate the LCM of 827, 233, 112, 588?

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 827, 233, 112, 588.

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}.