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LCM of 311, 121, 221, 858

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


Find the LCM of 311, 121, 221, 858 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 311, 121, 221, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,121,221,858

Given numbers are 311,121,221,858

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

The LCM of 311,121,221,858 is 49898706.

Find LCM of 311,121,221,858 with Prime Factorization


11 311, 121, 221, 858
13 311, 11, 221, 78
311, 11, 17, 6

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

11 x 13 x 311 x 11 x 17 x 6 = 49898706

Therefore, the lowest common multiple of 311,121,221,858 is 49898706.

LCM Formula to Find Lowest Common Multiple of 311,121,221,858

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.

311 x 121 x 221 x 858 = 7135514958

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.

311 : 1, 311

121 : 1, 11, 121

221 : 1, 13, 17, 221

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,121,221,858, is 1.

Now, the common factors can be found like this.

311:311

121:11x 11

221:13x 17

858:2x 3x 11x 13

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 7135514958/(1x143)

LCM = 7135514958/143

LCM = 49898706

Thus, we can understand that the LCM of 311,121,221,858 is 49898706.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 121, 221, 858

1. What is the LCM of 311, 121, 221, 858?

Answer: LCM of 311, 121, 221, 858 is 49898706.

2. How to calculate the LCM of 311, 121, 221, 858?

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 311, 121, 221, 858.

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}.