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LCM of 261, 169, 395, 377

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


Find the LCM of 261, 169, 395, 377 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 261, 169, 395, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,169,395,377

Given numbers are 261,169,395,377

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

The LCM of 261,169,395,377 is 17423055.

Find LCM of 261,169,395,377 with Prime Factorization


13 261, 169, 395, 377
29 261, 13, 395, 29
9, 13, 395, 1

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

13 x 29 x 9 x 13 x 395 x 1 = 17423055

Therefore, the lowest common multiple of 261,169,395,377 is 17423055.

LCM Formula to Find Lowest Common Multiple of 261,169,395,377

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.

261 x 169 x 395 x 377 = 6568491735

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.

261 : 1, 3, 9, 29, 87, 261

169 : 1, 13, 169

395 : 1, 5, 79, 395

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,169,395,377, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

169:13x 13

395:5x 79

377:13x 29

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

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 6568491735/(1x377)

LCM = 6568491735/377

LCM = 17423055

Thus, we can understand that the LCM of 261,169,395,377 is 17423055.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 169, 395, 377

1. What is the LCM of 261, 169, 395, 377?

Answer: LCM of 261, 169, 395, 377 is 17423055.

2. How to calculate the LCM of 261, 169, 395, 377?

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 261, 169, 395, 377.

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}.