Find the LCM of 381, 336, 916, 627, 280 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 381, 336, 916, 627, 280. So, keep reading to learn more.
Given numbers are 381,336,916,627,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,336,916,627,280 is 10211622960.
Find LCM of 381,336,916,627,280 with Prime Factorization
2 | 381, 336, 916, 627, 280 |
2 | 381, 168, 458, 627, 140 |
2 | 381, 84, 229, 627, 70 |
3 | 381, 42, 229, 627, 35 |
7 | 127, 14, 229, 209, 35 |
127, 2, 229, 209, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 127 x 2 x 229 x 209 x 5 = 10211622960
Therefore, the lowest common multiple of 381,336,916,627,280 is 10211622960.
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.
381 x 336 x 916 x 627 x 280 = 20586631887360
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.
381 : 1, 3, 127, 381
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
916 : 1, 2, 4, 229, 458, 916
627 : 1, 3, 11, 19, 33, 57, 209, 627
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,336,916,627,280, is 1.
Now, the common factors can be found like this.
381:3x 127
336:2x 2x 2x 2x 3x 7
916:2x 2x 229
627:3x 11x 19
280:2x 2x 2x 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 2x 2x 2x 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 20586631887360/(1x2016)
LCM = 20586631887360/2016
LCM = 10211622960
Thus, we can understand that the LCM of 381,336,916,627,280 is 10211622960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 336, 916, 627, 280?
Answer: LCM of 381, 336, 916, 627, 280 is 10211622960.
2. How to calculate the LCM of 381, 336, 916, 627, 280?
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 381, 336, 916, 627, 280.
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}.