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LCM of 827, 323, 457, 133

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


Find the LCM of 827, 323, 457, 133 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, 323, 457, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,323,457,133

Given numbers are 827,323,457,133

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

The LCM of 827,323,457,133 is 854520079.

Find LCM of 827,323,457,133 with Prime Factorization


19 827, 323, 457, 133
827, 17, 457, 7

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

19 x 827 x 17 x 457 x 7 = 854520079

Therefore, the lowest common multiple of 827,323,457,133 is 854520079.

LCM Formula to Find Lowest Common Multiple of 827,323,457,133

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 323 x 457 x 133 = 16235881501

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

323 : 1, 17, 19, 323

457 : 1, 457

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,323,457,133, is 1.

Now, the common factors can be found like this.

827:827

323:17x 19

457:457

133:7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

19 = 19

Therefore, the value for common factors is 19.

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 = 16235881501/(1x19)

LCM = 16235881501/19

LCM = 854520079

Thus, we can understand that the LCM of 827,323,457,133 is 854520079.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 323, 457, 133

1. What is the LCM of 827, 323, 457, 133?

Answer: LCM of 827, 323, 457, 133 is 854520079.

2. How to calculate the LCM of 827, 323, 457, 133?

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, 323, 457, 133.

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}.