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LCM of 814, 707, 332, 694

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


Find the LCM of 814, 707, 332, 694 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 814, 707, 332, 694. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,707,332,694

Given numbers are 814,707,332,694

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

The LCM of 814,707,332,694 is 33149835796.

Find LCM of 814,707,332,694 with Prime Factorization


2 814, 707, 332, 694
407, 707, 166, 347

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

2 x 407 x 707 x 166 x 347 = 33149835796

Therefore, the lowest common multiple of 814,707,332,694 is 33149835796.

LCM Formula to Find Lowest Common Multiple of 814,707,332,694

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.

814 x 707 x 332 x 694 = 132599343184

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

707 : 1, 7, 101, 707

332 : 1, 2, 4, 83, 166, 332

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,707,332,694, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

707:7x 101

332:2x 2x 83

694:2x 347

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 132599343184/(1x4)

LCM = 132599343184/4

LCM = 33149835796

Thus, we can understand that the LCM of 814,707,332,694 is 33149835796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 707, 332, 694

1. What is the LCM of 814, 707, 332, 694?

Answer: LCM of 814, 707, 332, 694 is 33149835796.

2. How to calculate the LCM of 814, 707, 332, 694?

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 814, 707, 332, 694.

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}.