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LCM of 301, 683, 913, 249

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


Find the LCM of 301, 683, 913, 249 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 301, 683, 913, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,683,913,249

Given numbers are 301,683,913,249

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

The LCM of 301,683,913,249 is 563091837.

Find LCM of 301,683,913,249 with Prime Factorization


83 301, 683, 913, 249
301, 683, 11, 3

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

83 x 301 x 683 x 11 x 3 = 563091837

Therefore, the lowest common multiple of 301,683,913,249 is 563091837.

LCM Formula to Find Lowest Common Multiple of 301,683,913,249

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.

301 x 683 x 913 x 249 = 46736622471

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.

301 : 1, 7, 43, 301

683 : 1, 683

913 : 1, 11, 83, 913

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,683,913,249, is 1.

Now, the common factors can be found like this.

301:7x 43

683:683

913:11x 83

249:3x 83

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

83 = 83

Therefore, the value for common factors is 83.

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 = 46736622471/(1x83)

LCM = 46736622471/83

LCM = 563091837

Thus, we can understand that the LCM of 301,683,913,249 is 563091837.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 683, 913, 249

1. What is the LCM of 301, 683, 913, 249?

Answer: LCM of 301, 683, 913, 249 is 563091837.

2. How to calculate the LCM of 301, 683, 913, 249?

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 301, 683, 913, 249.

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}.