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LCM of 805, 797, 789, 733, 380

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


Find the LCM of 805, 797, 789, 733, 380 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 805, 797, 789, 733, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,797,789,733,380

Given numbers are 805,797,789,733,380

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

The LCM of 805,797,789,733,380 is 28199978155020.

Find LCM of 805,797,789,733,380 with Prime Factorization


5 805, 797, 789, 733, 380
161, 797, 789, 733, 76

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

5 x 161 x 797 x 789 x 733 x 76 = 28199978155020

Therefore, the lowest common multiple of 805,797,789,733,380 is 28199978155020.

LCM Formula to Find Lowest Common Multiple of 805,797,789,733,380

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.

805 x 797 x 789 x 733 x 380 = 140999890775100

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

797 : 1, 797

789 : 1, 3, 263, 789

733 : 1, 733

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,797,789,733,380, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

797:797

789:3x 263

733:733

380:2x 2x 5x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 140999890775100/(1x5)

LCM = 140999890775100/5

LCM = 28199978155020

Thus, we can understand that the LCM of 805,797,789,733,380 is 28199978155020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 797, 789, 733, 380

1. What is the LCM of 805, 797, 789, 733, 380?

Answer: LCM of 805, 797, 789, 733, 380 is 28199978155020.

2. How to calculate the LCM of 805, 797, 789, 733, 380?

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 805, 797, 789, 733, 380.

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}.