Find the LCM of 379, 899, 766, 200, 372 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, 899, 766, 200, 372. So, keep reading to learn more.
Given numbers are 379,899,766,200,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,899,766,200,372 is 78297685800.
Find LCM of 379,899,766,200,372 with Prime Factorization
2 | 379, 899, 766, 200, 372 |
2 | 379, 899, 383, 100, 186 |
31 | 379, 899, 383, 50, 93 |
379, 29, 383, 50, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 379 x 29 x 383 x 50 x 3 = 78297685800
Therefore, the lowest common multiple of 379,899,766,200,372 is 78297685800.
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 899 x 766 x 200 x 372 = 19417826078400
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
899 : 1, 29, 31, 899
766 : 1, 2, 383, 766
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,899,766,200,372, is 1.
Now, the common factors can be found like this.
379:379
899:29x 31
766:2x 383
200:2x 2x 2x 5x 5
372:2x 2x 3x 31
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 31 = 248
Therefore, the value for common factors is 248.
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 = 19417826078400/(1x248)
LCM = 19417826078400/248
LCM = 78297685800
Thus, we can understand that the LCM of 379,899,766,200,372 is 78297685800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 899, 766, 200, 372?
Answer: LCM of 379, 899, 766, 200, 372 is 78297685800.
2. How to calculate the LCM of 379, 899, 766, 200, 372?
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, 899, 766, 200, 372.
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}.