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LCM of 169, 195, 273, 199

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


Find the LCM of 169, 195, 273, 199 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, 195, 273, 199. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,195,273,199

Given numbers are 169,195,273,199

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

The LCM of 169,195,273,199 is 3531255.

Find LCM of 169,195,273,199 with Prime Factorization


3 169, 195, 273, 199
13 169, 65, 91, 199
13, 5, 7, 199

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

3 x 13 x 13 x 5 x 7 x 199 = 3531255

Therefore, the lowest common multiple of 169,195,273,199 is 3531255.

LCM Formula to Find Lowest Common Multiple of 169,195,273,199

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 195 x 273 x 199 = 1790346285

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

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,195,273,199, is 1.

Now, the common factors can be found like this.

169:13x 13

195:3x 5x 13

273:3x 7x 13

199:199

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

3x 13x 13 = 507

Therefore, the value for common factors is 507.

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 = 1790346285/(1x507)

LCM = 1790346285/507

LCM = 3531255

Thus, we can understand that the LCM of 169,195,273,199 is 3531255.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 195, 273, 199

1. What is the LCM of 169, 195, 273, 199?

Answer: LCM of 169, 195, 273, 199 is 3531255.

2. How to calculate the LCM of 169, 195, 273, 199?

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, 195, 273, 199.

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}.