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LCM of 223, 713, 713, 667

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


Find the LCM of 223, 713, 713, 667 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 223, 713, 713, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 223,713,713,667

Given numbers are 223,713,713,667

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

The LCM of 223,713,713,667 is 4610971.

Find LCM of 223,713,713,667 with Prime Factorization


23 223, 713, 713, 667
31 223, 31, 31, 29
223, 1, 1, 29

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

23 x 31 x 223 x 1 x 1 x 29 = 4610971

Therefore, the lowest common multiple of 223,713,713,667 is 4610971.

LCM Formula to Find Lowest Common Multiple of 223,713,713,667

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.

223 x 713 x 713 x 667 = 75615313429

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.

223 : 1, 223

713 : 1, 23, 31, 713

713 : 1, 23, 31, 713

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,713,713,667, is 1.

Now, the common factors can be found like this.

223:223

713:23x 31

713:23x 31

667:23x 29

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

23x 23x 31 = 16399

Therefore, the value for common factors is 16399.

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 = 75615313429/(1x16399)

LCM = 75615313429/16399

LCM = 4610971

Thus, we can understand that the LCM of 223,713,713,667 is 4610971.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 223, 713, 713, 667

1. What is the LCM of 223, 713, 713, 667?

Answer: LCM of 223, 713, 713, 667 is 4610971.

2. How to calculate the LCM of 223, 713, 713, 667?

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 223, 713, 713, 667.

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}.