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LCM of 820, 981, 117, 441, 684

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


Find the LCM of 820, 981, 117, 441, 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 820, 981, 117, 441, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,981,117,441,684

Given numbers are 820,981,117,441,684

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

The LCM of 820,981,117,441,684 is 9735895260.

Find LCM of 820,981,117,441,684 with Prime Factorization


2 820, 981, 117, 441, 684
2 410, 981, 117, 441, 342
3 205, 981, 117, 441, 171
3 205, 327, 39, 147, 57
205, 109, 13, 49, 19

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

2 x 2 x 3 x 3 x 205 x 109 x 13 x 49 x 19 = 9735895260

Therefore, the lowest common multiple of 820,981,117,441,684 is 9735895260.

LCM Formula to Find Lowest Common Multiple of 820,981,117,441,684

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.

820 x 981 x 117 x 441 x 684 = 28389870578160

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

981 : 1, 3, 9, 109, 327, 981

117 : 1, 3, 9, 13, 39, 117

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

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 820,981,117,441,684, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

981:3x 3x 109

117:3x 3x 13

441:3x 3x 7x 7

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.

2x 2x 3x 3x 3x 3x 3x 3 = 2916

Therefore, the value for common factors is 2916.

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 = 28389870578160/(1x2916)

LCM = 28389870578160/2916

LCM = 9735895260

Thus, we can understand that the LCM of 820,981,117,441,684 is 9735895260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 981, 117, 441, 684

1. What is the LCM of 820, 981, 117, 441, 684?

Answer: LCM of 820, 981, 117, 441, 684 is 9735895260.

2. How to calculate the LCM of 820, 981, 117, 441, 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 820, 981, 117, 441, 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}.