Find the LCM of 782, 794, 280, 350 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 782, 794, 280, 350. So, keep reading to learn more.
Given numbers are 782,794,280,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,794,280,350 is 217317800.
Find LCM of 782,794,280,350 with Prime Factorization
2 | 782, 794, 280, 350 |
5 | 391, 397, 140, 175 |
7 | 391, 397, 28, 35 |
391, 397, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 391 x 397 x 4 x 5 = 217317800
Therefore, the lowest common multiple of 782,794,280,350 is 217317800.
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.
782 x 794 x 280 x 350 = 60848984000
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
794 : 1, 2, 397, 794
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,794,280,350, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
794:2x 397
280:2x 2x 2x 5x 7
350:2x 5x 5x 7
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 60848984000/(2x140)
LCM = 60848984000/280
LCM = 217317800
Thus, we can understand that the LCM of 782,794,280,350 is 217317800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 794, 280, 350?
Answer: LCM of 782, 794, 280, 350 is 217317800.
2. How to calculate the LCM of 782, 794, 280, 350?
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 782, 794, 280, 350.
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}.