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LCM of 715, 344, 774, 622, 241

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


Find the LCM of 715, 344, 774, 622, 241 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 715, 344, 774, 622, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,344,774,622,241

Given numbers are 715,344,774,622,241

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

The LCM of 715,344,774,622,241 is 165914531640.

Find LCM of 715,344,774,622,241 with Prime Factorization


2 715, 344, 774, 622, 241
43 715, 172, 387, 311, 241
715, 4, 9, 311, 241

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

2 x 43 x 715 x 4 x 9 x 311 x 241 = 165914531640

Therefore, the lowest common multiple of 715,344,774,622,241 is 165914531640.

LCM Formula to Find Lowest Common Multiple of 715,344,774,622,241

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.

715 x 344 x 774 x 622 x 241 = 28537299442080

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

344 : 1, 2, 4, 8, 43, 86, 172, 344

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

622 : 1, 2, 311, 622

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,344,774,622,241, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

344:2x 2x 2x 43

774:2x 3x 3x 43

622:2x 311

241:241

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 43 = 172

Therefore, the value for common factors is 172.

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 = 28537299442080/(1x172)

LCM = 28537299442080/172

LCM = 165914531640

Thus, we can understand that the LCM of 715,344,774,622,241 is 165914531640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 344, 774, 622, 241

1. What is the LCM of 715, 344, 774, 622, 241?

Answer: LCM of 715, 344, 774, 622, 241 is 165914531640.

2. How to calculate the LCM of 715, 344, 774, 622, 241?

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 715, 344, 774, 622, 241.

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}.