Find the LCM of 915, 506, 138, 571, 931 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 915, 506, 138, 571, 931. So, keep reading to learn more.
Given numbers are 915,506,138,571,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,506,138,571,931 is 246125946990.
Find LCM of 915,506,138,571,931 with Prime Factorization
2 | 915, 506, 138, 571, 931 |
3 | 915, 253, 69, 571, 931 |
23 | 305, 253, 23, 571, 931 |
305, 11, 1, 571, 931 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 305 x 11 x 1 x 571 x 931 = 246125946990
Therefore, the lowest common multiple of 915,506,138,571,931 is 246125946990.
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.
915 x 506 x 138 x 571 x 931 = 33965380684620
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
506 : 1, 2, 11, 22, 23, 46, 253, 506
138 : 1, 2, 3, 6, 23, 46, 69, 138
571 : 1, 571
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,506,138,571,931, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
506:2x 11x 23
138:2x 3x 23
571:571
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 33965380684620/(1x138)
LCM = 33965380684620/138
LCM = 246125946990
Thus, we can understand that the LCM of 915,506,138,571,931 is 246125946990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 915, 506, 138, 571, 931?
Answer: LCM of 915, 506, 138, 571, 931 is 246125946990.
2. How to calculate the LCM of 915, 506, 138, 571, 931?
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 915, 506, 138, 571, 931.
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}.