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LCM of 7, 113, 713, 217

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


Find the LCM of 7, 113, 713, 217 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 7, 113, 713, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7,113,713,217

Given numbers are 7,113,713,217

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

The LCM of 7,113,713,217 is 563983.

Find LCM of 7,113,713,217 with Prime Factorization


7 7, 113, 713, 217
31 1, 113, 713, 31
1, 113, 23, 1

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

7 x 31 x 1 x 113 x 23 x 1 = 563983

Therefore, the lowest common multiple of 7,113,713,217 is 563983.

LCM Formula to Find Lowest Common Multiple of 7,113,713,217

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.

7 x 113 x 713 x 217 = 122384311

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.

7 : 1, 7

113 : 1, 113

713 : 1, 23, 31, 713

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,113,713,217, is 1.

Now, the common factors can be found like this.

7:7

113:113

713:23x 31

217:7x 31

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

7x 31 = 217

Therefore, the value for common factors is 217.

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 = 122384311/(1x217)

LCM = 122384311/217

LCM = 563983

Thus, we can understand that the LCM of 7,113,713,217 is 563983.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 7, 113, 713, 217

1. What is the LCM of 7, 113, 713, 217?

Answer: LCM of 7, 113, 713, 217 is 563983.

2. How to calculate the LCM of 7, 113, 713, 217?

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 7, 113, 713, 217.

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}.