Find the LCM of 946, 218, 902, 765, 813 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 946, 218, 902, 765, 813. So, keep reading to learn more.
Given numbers are 946,218,902,765,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,218,902,765,813 is 876460235310.
Find LCM of 946,218,902,765,813 with Prime Factorization
2 | 946, 218, 902, 765, 813 |
3 | 473, 109, 451, 765, 813 |
11 | 473, 109, 451, 255, 271 |
43, 109, 41, 255, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 43 x 109 x 41 x 255 x 271 = 876460235310
Therefore, the lowest common multiple of 946,218,902,765,813 is 876460235310.
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.
946 x 218 x 902 x 765 x 813 = 115692751060920
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
218 : 1, 2, 109, 218
902 : 1, 2, 11, 22, 41, 82, 451, 902
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,218,902,765,813, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
218:2x 109
902:2x 11x 41
765:3x 3x 5x 17
813:3x 271
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 115692751060920/(1x132)
LCM = 115692751060920/132
LCM = 876460235310
Thus, we can understand that the LCM of 946,218,902,765,813 is 876460235310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 946, 218, 902, 765, 813?
Answer: LCM of 946, 218, 902, 765, 813 is 876460235310.
2. How to calculate the LCM of 946, 218, 902, 765, 813?
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 946, 218, 902, 765, 813.
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}.