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LCM of 827, 289, 842, 684

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


Find the LCM of 827, 289, 842, 684 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, 289, 842, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,289,842,684

Given numbers are 827,289,842,684

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

The LCM of 827,289,842,684 is 68824259892.

Find LCM of 827,289,842,684 with Prime Factorization


2 827, 289, 842, 684
827, 289, 421, 342

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

2 x 827 x 289 x 421 x 342 = 68824259892

Therefore, the lowest common multiple of 827,289,842,684 is 68824259892.

LCM Formula to Find Lowest Common Multiple of 827,289,842,684

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 289 x 842 x 684 = 137648519784

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

289 : 1, 17, 289

842 : 1, 2, 421, 842

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,289,842,684, is 1.

Now, the common factors can be found like this.

827:827

289:17x 17

842:2x 421

684:2x 2x 3x 3x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 137648519784/(1x2)

LCM = 137648519784/2

LCM = 68824259892

Thus, we can understand that the LCM of 827,289,842,684 is 68824259892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 289, 842, 684

1. What is the LCM of 827, 289, 842, 684?

Answer: LCM of 827, 289, 842, 684 is 68824259892.

2. How to calculate the LCM of 827, 289, 842, 684?

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, 289, 842, 684.

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}.