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LCM of 169, 110, 169

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


Find the LCM of 169, 110, 169 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 169, 110, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,110,169

Given numbers are 169,110,169

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

The LCM of 169,110,169 is 18590.

Find LCM of 169,110,169 with Prime Factorization


13 169, 110, 169
13 13, 110, 13
1, 110, 1

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

13 x 13 x 1 x 110 x 1 = 18590

Therefore, the lowest common multiple of 169,110,169 is 18590.

LCM Formula to Find Lowest Common Multiple of 169,110,169

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.

169 x 110 x 169 = 3141710

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.

169 : 1, 13, 169

110 : 1, 2, 5, 10, 11, 22, 55, 110

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,110,169, is 1.

Now, the common factors can be found like this.

169:13x 13

110:2x 5x 11

169:13x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 3141710/(1x169)

LCM = 3141710/169

LCM = 18590

Thus, we can understand that the LCM of 169,110,169 is 18590.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 169, 110, 169

1. What is the LCM of 169, 110, 169?

Answer: LCM of 169, 110, 169 is 18590.

2. How to calculate the LCM of 169, 110, 169?

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 169, 110, 169.

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}.