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LCM of 694, 715, 347, 239, 179

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


Find the LCM of 694, 715, 347, 239, 179 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 694, 715, 347, 239, 179. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,715,347,239,179

Given numbers are 694,715,347,239,179

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

The LCM of 694,715,347,239,179 is 21228360010.

Find LCM of 694,715,347,239,179 with Prime Factorization


347 694, 715, 347, 239, 179
2, 715, 1, 239, 179

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

347 x 2 x 715 x 1 x 239 x 179 = 21228360010

Therefore, the lowest common multiple of 694,715,347,239,179 is 21228360010.

LCM Formula to Find Lowest Common Multiple of 694,715,347,239,179

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.

694 x 715 x 347 x 239 x 179 = 7366240923470

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.

694 : 1, 2, 347, 694

715 : 1, 5, 11, 13, 55, 65, 143, 715

347 : 1, 347

239 : 1, 239

179 : 1, 179

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,715,347,239,179, is 1.

Now, the common factors can be found like this.

694:2x 347

715:5x 11x 13

347:347

239:239

179:179

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

347 = 347

Therefore, the value for common factors is 347.

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 = 7366240923470/(1x347)

LCM = 7366240923470/347

LCM = 21228360010

Thus, we can understand that the LCM of 694,715,347,239,179 is 21228360010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 715, 347, 239, 179

1. What is the LCM of 694, 715, 347, 239, 179?

Answer: LCM of 694, 715, 347, 239, 179 is 21228360010.

2. How to calculate the LCM of 694, 715, 347, 239, 179?

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 694, 715, 347, 239, 179.

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}.