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LCM of 221, 925, 185, 310, 363

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


Find the LCM of 221, 925, 185, 310, 363 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, 925, 185, 310, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,925,185,310,363

Given numbers are 221,925,185,310,363

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

The LCM of 221,925,185,310,363 is 4600789050.

Find LCM of 221,925,185,310,363 with Prime Factorization


5 221, 925, 185, 310, 363
37 221, 185, 37, 62, 363
221, 5, 1, 62, 363

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

5 x 37 x 221 x 5 x 1 x 62 x 363 = 4600789050

Therefore, the lowest common multiple of 221,925,185,310,363 is 4600789050.

LCM Formula to Find Lowest Common Multiple of 221,925,185,310,363

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 925 x 185 x 310 x 363 = 4255729871250

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

925 : 1, 5, 25, 37, 185, 925

185 : 1, 5, 37, 185

310 : 1, 2, 5, 10, 31, 62, 155, 310

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,925,185,310,363, is 1.

Now, the common factors can be found like this.

221:13x 17

925:5x 5x 37

185:5x 37

310:2x 5x 31

363:3x 11x 11

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

5x 5x 37 = 925

Therefore, the value for common factors is 925.

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 = 4255729871250/(1x925)

LCM = 4255729871250/925

LCM = 4600789050

Thus, we can understand that the LCM of 221,925,185,310,363 is 4600789050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 925, 185, 310, 363

1. What is the LCM of 221, 925, 185, 310, 363?

Answer: LCM of 221, 925, 185, 310, 363 is 4600789050.

2. How to calculate the LCM of 221, 925, 185, 310, 363?

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, 925, 185, 310, 363.

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}.