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LCM of 706, 169, 195

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


Find the LCM of 706, 169, 195 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 706, 169, 195. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,169,195

Given numbers are 706,169,195

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

The LCM of 706,169,195 is 1789710.

Find LCM of 706,169,195 with Prime Factorization


13 706, 169, 195
706, 13, 15

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

13 x 706 x 13 x 15 = 1789710

Therefore, the lowest common multiple of 706,169,195 is 1789710.

LCM Formula to Find Lowest Common Multiple of 706,169,195

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.

706 x 169 x 195 = 23266230

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.

706 : 1, 2, 353, 706

169 : 1, 13, 169

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,169,195, is 1.

Now, the common factors can be found like this.

706:2x 353

169:13x 13

195:3x 5x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 23266230/(1x13)

LCM = 23266230/13

LCM = 1789710

Thus, we can understand that the LCM of 706,169,195 is 1789710.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 706, 169, 195

1. What is the LCM of 706, 169, 195?

Answer: LCM of 706, 169, 195 is 1789710.

2. How to calculate the LCM of 706, 169, 195?

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 706, 169, 195.

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}.