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LCM of 221, 239, 374, 180, 724

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


Find the LCM of 221, 239, 374, 180, 724 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, 239, 374, 180, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,239,374,180,724

Given numbers are 221,239,374,180,724

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

The LCM of 221,239,374,180,724 is 18929273220.

Find LCM of 221,239,374,180,724 with Prime Factorization


2 221, 239, 374, 180, 724
2 221, 239, 187, 90, 362
17 221, 239, 187, 45, 181
13, 239, 11, 45, 181

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

2 x 2 x 17 x 13 x 239 x 11 x 45 x 181 = 18929273220

Therefore, the lowest common multiple of 221,239,374,180,724 is 18929273220.

LCM Formula to Find Lowest Common Multiple of 221,239,374,180,724

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 239 x 374 x 180 x 724 = 2574381157920

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

239 : 1, 239

374 : 1, 2, 11, 17, 22, 34, 187, 374

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,239,374,180,724, is 1.

Now, the common factors can be found like this.

221:13x 17

239:239

374:2x 11x 17

180:2x 2x 3x 3x 5

724:2x 2x 181

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

2x 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 2574381157920/(1x136)

LCM = 2574381157920/136

LCM = 18929273220

Thus, we can understand that the LCM of 221,239,374,180,724 is 18929273220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 239, 374, 180, 724

1. What is the LCM of 221, 239, 374, 180, 724?

Answer: LCM of 221, 239, 374, 180, 724 is 18929273220.

2. How to calculate the LCM of 221, 239, 374, 180, 724?

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, 239, 374, 180, 724.

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}.