Find the LCM of 849, 953, 828, 187, 915 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 849, 953, 828, 187, 915. So, keep reading to learn more.
Given numbers are 849,953,828,187,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,953,828,187,915 is 12736529881020.
Find LCM of 849,953,828,187,915 with Prime Factorization
3 | 849, 953, 828, 187, 915 |
283, 953, 276, 187, 305 |
Multiply the prime numbers at the bottom and the left side.
3 x 283 x 953 x 276 x 187 x 305 = 12736529881020
Therefore, the lowest common multiple of 849,953,828,187,915 is 12736529881020.
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.
849 x 953 x 828 x 187 x 915 = 114628768929180
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.
849 : 1, 3, 283, 849
953 : 1, 953
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
187 : 1, 11, 17, 187
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,953,828,187,915, is 1.
Now, the common factors can be found like this.
849:3x 283
953:953
828:2x 2x 3x 3x 23
187:11x 17
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 114628768929180/(1x9)
LCM = 114628768929180/9
LCM = 12736529881020
Thus, we can understand that the LCM of 849,953,828,187,915 is 12736529881020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 849, 953, 828, 187, 915?
Answer: LCM of 849, 953, 828, 187, 915 is 12736529881020.
2. How to calculate the LCM of 849, 953, 828, 187, 915?
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 849, 953, 828, 187, 915.
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}.