LCM of 777, 280, 339, 138, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 280, 339, 138, 312 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 777, 280, 339, 138, 312. So, keep reading to learn more.
Given numbers are 777,280,339,138,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,280,339,138,312 is 1050099960.
Find LCM of 777,280,339,138,312 with Prime Factorization
| 2 | 777, 280, 339, 138, 312 |
| 2 | 777, 140, 339, 69, 156 |
| 2 | 777, 70, 339, 69, 78 |
| 3 | 777, 35, 339, 69, 39 |
| 7 | 259, 35, 113, 23, 13 |
| 37, 5, 113, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 37 x 5 x 113 x 23 x 13 = 1050099960
Therefore, the lowest common multiple of 777,280,339,138,312 is 1050099960.
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.
777 x 280 x 339 x 138 x 312 = 3175502279040
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
339 : 1, 3, 113, 339
138 : 1, 2, 3, 6, 23, 46, 69, 138
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,280,339,138,312, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
280:2x 2x 2x 5x 7
339:3x 113
138:2x 3x 23
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 3175502279040/(1x3024)
LCM = 3175502279040/3024
LCM = 1050099960
Thus, we can understand that the LCM of 777,280,339,138,312 is 1050099960.
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FAQs on LCM of 777, 280, 339, 138, 312
1. What is the LCM of 777, 280, 339, 138, 312?
Answer: LCM of 777, 280, 339, 138, 312 is 1050099960.
2. How to calculate the LCM of 777, 280, 339, 138, 312?
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 777, 280, 339, 138, 312.
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}.