Find the LCM of 969, 381, 337, 919 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 969, 381, 337, 919. So, keep reading to learn more.
Given numbers are 969,381,337,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,381,337,919 is 38112980289.
Find LCM of 969,381,337,919 with Prime Factorization
3 | 969, 381, 337, 919 |
323, 127, 337, 919 |
Multiply the prime numbers at the bottom and the left side.
3 x 323 x 127 x 337 x 919 = 38112980289
Therefore, the lowest common multiple of 969,381,337,919 is 38112980289.
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.
969 x 381 x 337 x 919 = 114338940867
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
381 : 1, 3, 127, 381
337 : 1, 337
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,381,337,919, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
381:3x 127
337:337
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 114338940867/(1x3)
LCM = 114338940867/3
LCM = 38112980289
Thus, we can understand that the LCM of 969,381,337,919 is 38112980289.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 381, 337, 919?
Answer: LCM of 969, 381, 337, 919 is 38112980289.
2. How to calculate the LCM of 969, 381, 337, 919?
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 969, 381, 337, 919.
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}.