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LCM of 295, 885, 380, 755, 721

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


Find the LCM of 295, 885, 380, 755, 721 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 295, 885, 380, 755, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 295,885,380,755,721

Given numbers are 295,885,380,755,721

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

The LCM of 295,885,380,755,721 is 7322663460.

Find LCM of 295,885,380,755,721 with Prime Factorization


5 295, 885, 380, 755, 721
59 59, 177, 76, 151, 721
1, 3, 76, 151, 721

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

5 x 59 x 1 x 3 x 76 x 151 x 721 = 7322663460

Therefore, the lowest common multiple of 295,885,380,755,721 is 7322663460.

LCM Formula to Find Lowest Common Multiple of 295,885,380,755,721

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.

295 x 885 x 380 x 755 x 721 = 54004643017500

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.

295 : 1, 5, 59, 295

885 : 1, 3, 5, 15, 59, 177, 295, 885

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

755 : 1, 5, 151, 755

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,885,380,755,721, is 1.

Now, the common factors can be found like this.

295:5x 59

885:3x 5x 59

380:2x 2x 5x 19

755:5x 151

721:7x 103

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 5x 59 = 7375

Therefore, the value for common factors is 7375.

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 = 54004643017500/(1x7375)

LCM = 54004643017500/7375

LCM = 7322663460

Thus, we can understand that the LCM of 295,885,380,755,721 is 7322663460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 295, 885, 380, 755, 721

1. What is the LCM of 295, 885, 380, 755, 721?

Answer: LCM of 295, 885, 380, 755, 721 is 7322663460.

2. How to calculate the LCM of 295, 885, 380, 755, 721?

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 295, 885, 380, 755, 721.

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}.