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LCM of 7194, 8305

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


Find the LCM of 7194, 8305 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 7194, 8305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7194,8305

Given numbers are 7194,8305

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

The LCM of 7194,8305 is 5431470.

Find LCM of 7194,8305 with Prime Factorization


11 7194, 8305
654, 755

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

11 x 654 x 755 = 5431470

Therefore, the lowest common multiple of 7194,8305 is 5431470.

LCM Formula to Find Lowest Common Multiple of 7194,8305

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.

7194 x 8305 = 59746170

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.

7194 : 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194

8305 : 1, 5, 11, 55, 151, 755, 1661, 8305

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7194,8305, is 11.

Now, the common factors can be found like this.

7194:2x 3x 11x 109

8305:5x 11x 151

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

= 1

Therefore, the value for common factors is 1.

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 = 59746170/(11x1)

LCM = 59746170/11

LCM = 5431470

Thus, we can understand that the LCM of 7194,8305 is 5431470.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7194, 8305

1. What is the LCM of 7194, 8305?

Answer: LCM of 7194, 8305 is 5431470.

2. How to calculate the LCM of 7194, 8305?

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 7194, 8305.

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}.