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LCM of 721, 234, 425, 217, 913

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


Find the LCM of 721, 234, 425, 217, 913 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 721, 234, 425, 217, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,234,425,217,913

Given numbers are 721,234,425,217,913

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

The LCM of 721,234,425,217,913 is 2029422745350.

Find LCM of 721,234,425,217,913 with Prime Factorization


7 721, 234, 425, 217, 913
103, 234, 425, 31, 913

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

7 x 103 x 234 x 425 x 31 x 913 = 2029422745350

Therefore, the lowest common multiple of 721,234,425,217,913 is 2029422745350.

LCM Formula to Find Lowest Common Multiple of 721,234,425,217,913

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.

721 x 234 x 425 x 217 x 913 = 14205959217450

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.

721 : 1, 7, 103, 721

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

425 : 1, 5, 17, 25, 85, 425

217 : 1, 7, 31, 217

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,234,425,217,913, is 1.

Now, the common factors can be found like this.

721:7x 103

234:2x 3x 3x 13

425:5x 5x 17

217:7x 31

913:11x 83

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

7 = 7

Therefore, the value for common factors is 7.

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 = 14205959217450/(1x7)

LCM = 14205959217450/7

LCM = 2029422745350

Thus, we can understand that the LCM of 721,234,425,217,913 is 2029422745350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 234, 425, 217, 913

1. What is the LCM of 721, 234, 425, 217, 913?

Answer: LCM of 721, 234, 425, 217, 913 is 2029422745350.

2. How to calculate the LCM of 721, 234, 425, 217, 913?

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 721, 234, 425, 217, 913.

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}.