Find the LCM of 919, 253, 753, 837 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 919, 253, 753, 837. So, keep reading to learn more.
Given numbers are 919,253,753,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,253,753,837 is 48846698109.
Find LCM of 919,253,753,837 with Prime Factorization
3 | 919, 253, 753, 837 |
919, 253, 251, 279 |
Multiply the prime numbers at the bottom and the left side.
3 x 919 x 253 x 251 x 279 = 48846698109
Therefore, the lowest common multiple of 919,253,753,837 is 48846698109.
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.
919 x 253 x 753 x 837 = 146540094327
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.
919 : 1, 919
253 : 1, 11, 23, 253
753 : 1, 3, 251, 753
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,253,753,837, is 1.
Now, the common factors can be found like this.
919:919
253:11x 23
753:3x 251
837:3x 3x 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.
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 = 146540094327/(1x3)
LCM = 146540094327/3
LCM = 48846698109
Thus, we can understand that the LCM of 919,253,753,837 is 48846698109.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 919, 253, 753, 837?
Answer: LCM of 919, 253, 753, 837 is 48846698109.
2. How to calculate the LCM of 919, 253, 753, 837?
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 919, 253, 753, 837.
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}.