LCM of 822, 665, 380, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 665, 380, 669 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 822, 665, 380, 669. So, keep reading to learn more.
Given numbers are 822,665,380,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,665,380,669 is 243796980.
Find LCM of 822,665,380,669 with Prime Factorization
| 2 | 822, 665, 380, 669 |
| 3 | 411, 665, 190, 669 |
| 5 | 137, 665, 190, 223 |
| 19 | 137, 133, 38, 223 |
| 137, 7, 2, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 137 x 7 x 2 x 223 = 243796980
Therefore, the lowest common multiple of 822,665,380,669 is 243796980.
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.
822 x 665 x 380 x 669 = 138964278600
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
665 : 1, 5, 7, 19, 35, 95, 133, 665
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,665,380,669, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
665:5x 7x 19
380:2x 2x 5x 19
669:3x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 19 = 570
Therefore, the value for common factors is 570.
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 = 138964278600/(1x570)
LCM = 138964278600/570
LCM = 243796980
Thus, we can understand that the LCM of 822,665,380,669 is 243796980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 665, 380, 669
1. What is the LCM of 822, 665, 380, 669?
Answer: LCM of 822, 665, 380, 669 is 243796980.
2. How to calculate the LCM of 822, 665, 380, 669?
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 822, 665, 380, 669.
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}.