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LCM of 211, 737, 586, 858

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


Find the LCM of 211, 737, 586, 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 211, 737, 586, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 211,737,586,858

Given numbers are 211,737,586,858

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

The LCM of 211,737,586,858 is 3553956978.

Find LCM of 211,737,586,858 with Prime Factorization


2 211, 737, 586, 858
11 211, 737, 293, 429
211, 67, 293, 39

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

2 x 11 x 211 x 67 x 293 x 39 = 3553956978

Therefore, the lowest common multiple of 211,737,586,858 is 3553956978.

LCM Formula to Find Lowest Common Multiple of 211,737,586,858

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.

211 x 737 x 586 x 858 = 78187053516

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.

211 : 1, 211

737 : 1, 11, 67, 737

586 : 1, 2, 293, 586

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 211,737,586,858, is 1.

Now, the common factors can be found like this.

211:211

737:11x 67

586:2x 293

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.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 78187053516/(1x22)

LCM = 78187053516/22

LCM = 3553956978

Thus, we can understand that the LCM of 211,737,586,858 is 3553956978.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 211, 737, 586, 858

1. What is the LCM of 211, 737, 586, 858?

Answer: LCM of 211, 737, 586, 858 is 3553956978.

2. How to calculate the LCM of 211, 737, 586, 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 211, 737, 586, 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}.