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LCM of 199, 221, 429, 211

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


Find the LCM of 199, 221, 429, 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 199, 221, 429, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,221,429,211

Given numbers are 199,221,429,211

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

The LCM of 199,221,429,211 is 306225777.

Find LCM of 199,221,429,211 with Prime Factorization


13 199, 221, 429, 211
199, 17, 33, 211

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

13 x 199 x 17 x 33 x 211 = 306225777

Therefore, the lowest common multiple of 199,221,429,211 is 306225777.

LCM Formula to Find Lowest Common Multiple of 199,221,429,211

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.

199 x 221 x 429 x 211 = 3980935101

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.

199 : 1, 199

221 : 1, 13, 17, 221

429 : 1, 3, 11, 13, 33, 39, 143, 429

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,221,429,211, is 1.

Now, the common factors can be found like this.

199:199

221:13x 17

429:3x 11x 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 = 3980935101/(1x13)

LCM = 3980935101/13

LCM = 306225777

Thus, we can understand that the LCM of 199,221,429,211 is 306225777.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 221, 429, 211

1. What is the LCM of 199, 221, 429, 211?

Answer: LCM of 199, 221, 429, 211 is 306225777.

2. How to calculate the LCM of 199, 221, 429, 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 199, 221, 429, 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}.