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LCM of 105, 713, 115, 503

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


Find the LCM of 105, 713, 115, 503 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 105, 713, 115, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 105,713,115,503

Given numbers are 105,713,115,503

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

The LCM of 105,713,115,503 is 37657095.

Find LCM of 105,713,115,503 with Prime Factorization


5 105, 713, 115, 503
23 21, 713, 23, 503
21, 31, 1, 503

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

5 x 23 x 21 x 31 x 1 x 503 = 37657095

Therefore, the lowest common multiple of 105,713,115,503 is 37657095.

LCM Formula to Find Lowest Common Multiple of 105,713,115,503

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.

105 x 713 x 115 x 503 = 4330565925

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

713 : 1, 23, 31, 713

115 : 1, 5, 23, 115

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,713,115,503, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

713:23x 31

115:5x 23

503:503

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 4330565925/(1x115)

LCM = 4330565925/115

LCM = 37657095

Thus, we can understand that the LCM of 105,713,115,503 is 37657095.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 105, 713, 115, 503

1. What is the LCM of 105, 713, 115, 503?

Answer: LCM of 105, 713, 115, 503 is 37657095.

2. How to calculate the LCM of 105, 713, 115, 503?

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 105, 713, 115, 503.

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}.