LCM of 379, 280, 798, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 280, 798, 777 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 379, 280, 798, 777. So, keep reading to learn more.
Given numbers are 379,280,798,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,280,798,777 is 223807080.
Find LCM of 379,280,798,777 with Prime Factorization
| 2 | 379, 280, 798, 777 |
| 3 | 379, 140, 399, 777 |
| 7 | 379, 140, 133, 259 |
| 379, 20, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 379 x 20 x 19 x 37 = 223807080
Therefore, the lowest common multiple of 379,280,798,777 is 223807080.
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.
379 x 280 x 798 x 777 = 65799281520
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.
379 : 1, 379
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,280,798,777, is 1.
Now, the common factors can be found like this.
379:379
280:2x 2x 2x 5x 7
798:2x 3x 7x 19
777:3x 7x 37
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 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 65799281520/(1x294)
LCM = 65799281520/294
LCM = 223807080
Thus, we can understand that the LCM of 379,280,798,777 is 223807080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 280, 798, 777
1. What is the LCM of 379, 280, 798, 777?
Answer: LCM of 379, 280, 798, 777 is 223807080.
2. How to calculate the LCM of 379, 280, 798, 777?
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 379, 280, 798, 777.
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}.