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LCM of 221, 514, 366, 950

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


Find the LCM of 221, 514, 366, 950 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 221, 514, 366, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,514,366,950

Given numbers are 221,514,366,950

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

The LCM of 221,514,366,950 is 9874158450.

Find LCM of 221,514,366,950 with Prime Factorization


2 221, 514, 366, 950
221, 257, 183, 475

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

2 x 221 x 257 x 183 x 475 = 9874158450

Therefore, the lowest common multiple of 221,514,366,950 is 9874158450.

LCM Formula to Find Lowest Common Multiple of 221,514,366,950

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.

221 x 514 x 366 x 950 = 39496633800

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.

221 : 1, 13, 17, 221

514 : 1, 2, 257, 514

366 : 1, 2, 3, 6, 61, 122, 183, 366

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,514,366,950, is 1.

Now, the common factors can be found like this.

221:13x 17

514:2x 257

366:2x 3x 61

950:2x 5x 5x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39496633800/(1x4)

LCM = 39496633800/4

LCM = 9874158450

Thus, we can understand that the LCM of 221,514,366,950 is 9874158450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 514, 366, 950

1. What is the LCM of 221, 514, 366, 950?

Answer: LCM of 221, 514, 366, 950 is 9874158450.

2. How to calculate the LCM of 221, 514, 366, 950?

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 221, 514, 366, 950.

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}.