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LCM of 319, 65, 377

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


Find the LCM of 319, 65, 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 319, 65, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,65,377

Given numbers are 319,65,377

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

The LCM of 319,65,377 is 20735.

Find LCM of 319,65,377 with Prime Factorization


13 319, 65, 377
29 319, 5, 29
11, 5, 1

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

13 x 29 x 11 x 5 x 1 = 20735

Therefore, the lowest common multiple of 319,65,377 is 20735.

LCM Formula to Find Lowest Common Multiple of 319,65,377

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.

319 x 65 x 377 = 7817095

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.

319 : 1, 11, 29, 319

65 : 1, 5, 13, 65

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,65,377, is 1.

Now, the common factors can be found like this.

319:11x 29

65:5x 13

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 = 7817095/(1x377)

LCM = 7817095/377

LCM = 20735

Thus, we can understand that the LCM of 319,65,377 is 20735.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 319, 65, 377

1. What is the LCM of 319, 65, 377?

Answer: LCM of 319, 65, 377 is 20735.

2. How to calculate the LCM of 319, 65, 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 319, 65, 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}.