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LCM of 20, 82, 943

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


Find the LCM of 20, 82, 943 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 20, 82, 943. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 20,82,943

Given numbers are 20,82,943

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

The LCM of 20,82,943 is 18860.

Find LCM of 20,82,943 with Prime Factorization


2 20, 82, 943
41 10, 41, 943
10, 1, 23

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

2 x 41 x 10 x 1 x 23 = 18860

Therefore, the lowest common multiple of 20,82,943 is 18860.

LCM Formula to Find Lowest Common Multiple of 20,82,943

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.

20 x 82 x 943 = 1546520

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.

20 : 1, 2, 4, 5, 10, 20

82 : 1, 2, 41, 82

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 20,82,943, is 1.

Now, the common factors can be found like this.

20:2x 2x 5

82:2x 41

943:23x 41

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 1546520/(1x82)

LCM = 1546520/82

LCM = 18860

Thus, we can understand that the LCM of 20,82,943 is 18860.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 20, 82, 943

1. What is the LCM of 20, 82, 943?

Answer: LCM of 20, 82, 943 is 18860.

2. How to calculate the LCM of 20, 82, 943?

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 20, 82, 943.

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}.