Find the LCM of 535, 914, 380, 860 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 535, 914, 380, 860. So, keep reading to learn more.
Given numbers are 535,914,380,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,914,380,860 is 799009660.
Find LCM of 535,914,380,860 with Prime Factorization
2 | 535, 914, 380, 860 |
2 | 535, 457, 190, 430 |
5 | 535, 457, 95, 215 |
107, 457, 19, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 107 x 457 x 19 x 43 = 799009660
Therefore, the lowest common multiple of 535,914,380,860 is 799009660.
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.
535 x 914 x 380 x 860 = 159801932000
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.
535 : 1, 5, 107, 535
914 : 1, 2, 457, 914
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,914,380,860, is 1.
Now, the common factors can be found like this.
535:5x 107
914:2x 457
380:2x 2x 5x 19
860:2x 2x 5x 43
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 159801932000/(1x200)
LCM = 159801932000/200
LCM = 799009660
Thus, we can understand that the LCM of 535,914,380,860 is 799009660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 914, 380, 860?
Answer: LCM of 535, 914, 380, 860 is 799009660.
2. How to calculate the LCM of 535, 914, 380, 860?
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 535, 914, 380, 860.
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}.