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LCM of 315, 723, 834, 241

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


Find the LCM of 315, 723, 834, 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 315, 723, 834, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,723,834,241

Given numbers are 315,723,834,241

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

The LCM of 315,723,834,241 is 21104370.

Find LCM of 315,723,834,241 with Prime Factorization


3 315, 723, 834, 241
241 105, 241, 278, 241
105, 1, 278, 1

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

3 x 241 x 105 x 1 x 278 x 1 = 21104370

Therefore, the lowest common multiple of 315,723,834,241 is 21104370.

LCM Formula to Find Lowest Common Multiple of 315,723,834,241

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.

315 x 723 x 834 x 241 = 45775378530

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

723 : 1, 3, 241, 723

834 : 1, 2, 3, 6, 139, 278, 417, 834

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,723,834,241, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

723:3x 241

834:2x 3x 139

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.

3x 3x 241 = 2169

Therefore, the value for common factors is 2169.

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 = 45775378530/(1x2169)

LCM = 45775378530/2169

LCM = 21104370

Thus, we can understand that the LCM of 315,723,834,241 is 21104370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 723, 834, 241

1. What is the LCM of 315, 723, 834, 241?

Answer: LCM of 315, 723, 834, 241 is 21104370.

2. How to calculate the LCM of 315, 723, 834, 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 315, 723, 834, 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}.