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LCM of 573, 121, 923, 338, 211

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


Find the LCM of 573, 121, 923, 338, 211 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 573, 121, 923, 338, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 573,121,923,338,211

Given numbers are 573,121,923,338,211

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

The LCM of 573,121,923,338,211 is 351073053474.

Find LCM of 573,121,923,338,211 with Prime Factorization


13 573, 121, 923, 338, 211
573, 121, 71, 26, 211

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

13 x 573 x 121 x 71 x 26 x 211 = 351073053474

Therefore, the lowest common multiple of 573,121,923,338,211 is 351073053474.

LCM Formula to Find Lowest Common Multiple of 573,121,923,338,211

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.

573 x 121 x 923 x 338 x 211 = 4563949695162

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.

573 : 1, 3, 191, 573

121 : 1, 11, 121

923 : 1, 13, 71, 923

338 : 1, 2, 13, 26, 169, 338

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,121,923,338,211, is 1.

Now, the common factors can be found like this.

573:3x 191

121:11x 11

923:13x 71

338:2x 13x 13

211:211

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

13 = 13

Therefore, the value for common factors is 13.

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 = 4563949695162/(1x13)

LCM = 4563949695162/13

LCM = 351073053474

Thus, we can understand that the LCM of 573,121,923,338,211 is 351073053474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 573, 121, 923, 338, 211

1. What is the LCM of 573, 121, 923, 338, 211?

Answer: LCM of 573, 121, 923, 338, 211 is 351073053474.

2. How to calculate the LCM of 573, 121, 923, 338, 211?

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 573, 121, 923, 338, 211.

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}.