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LCM of 834, 852, 582, 723, 563

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


Find the LCM of 834, 852, 582, 723, 563 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 834, 852, 582, 723, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,852,582,723,563

Given numbers are 834,852,582,723,563

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

The LCM of 834,852,582,723,563 is 1558660633428.

Find LCM of 834,852,582,723,563 with Prime Factorization


2 834, 852, 582, 723, 563
3 417, 426, 291, 723, 563
139, 142, 97, 241, 563

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

2 x 3 x 139 x 142 x 97 x 241 x 563 = 1558660633428

Therefore, the lowest common multiple of 834,852,582,723,563 is 1558660633428.

LCM Formula to Find Lowest Common Multiple of 834,852,582,723,563

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.

834 x 852 x 582 x 723 x 563 = 168335348410224

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

723 : 1, 3, 241, 723

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,852,582,723,563, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

852:2x 2x 3x 71

582:2x 3x 97

723:3x 241

563:563

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 168335348410224/(1x108)

LCM = 168335348410224/108

LCM = 1558660633428

Thus, we can understand that the LCM of 834,852,582,723,563 is 1558660633428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 852, 582, 723, 563

1. What is the LCM of 834, 852, 582, 723, 563?

Answer: LCM of 834, 852, 582, 723, 563 is 1558660633428.

2. How to calculate the LCM of 834, 852, 582, 723, 563?

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 834, 852, 582, 723, 563.

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}.