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LCM of 319, 777, 649, 732, 305

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


Find the LCM of 319, 777, 649, 732, 305 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, 777, 649, 732, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,777,649,732,305

Given numbers are 319,777,649,732,305

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

The LCM of 319,777,649,732,305 is 17841178740.

Find LCM of 319,777,649,732,305 with Prime Factorization


3 319, 777, 649, 732, 305
11 319, 259, 649, 244, 305
61 29, 259, 59, 244, 305
29, 259, 59, 4, 5

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

3 x 11 x 61 x 29 x 259 x 59 x 4 x 5 = 17841178740

Therefore, the lowest common multiple of 319,777,649,732,305 is 17841178740.

LCM Formula to Find Lowest Common Multiple of 319,777,649,732,305

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 777 x 649 x 732 x 305 = 35914292803620

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

777 : 1, 3, 7, 21, 37, 111, 259, 777

649 : 1, 11, 59, 649

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,777,649,732,305, is 1.

Now, the common factors can be found like this.

319:11x 29

777:3x 7x 37

649:11x 59

732:2x 2x 3x 61

305:5x 61

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

3x 11x 61 = 2013

Therefore, the value for common factors is 2013.

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 = 35914292803620/(1x2013)

LCM = 35914292803620/2013

LCM = 17841178740

Thus, we can understand that the LCM of 319,777,649,732,305 is 17841178740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 777, 649, 732, 305

1. What is the LCM of 319, 777, 649, 732, 305?

Answer: LCM of 319, 777, 649, 732, 305 is 17841178740.

2. How to calculate the LCM of 319, 777, 649, 732, 305?

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, 777, 649, 732, 305.

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}.