Find the LCM of 902, 340, 599, 465, 992 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 902, 340, 599, 465, 992. So, keep reading to learn more.
Given numbers are 902,340,599,465,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,340,599,465,992 is 68336891040.
Find LCM of 902,340,599,465,992 with Prime Factorization
2 | 902, 340, 599, 465, 992 |
2 | 451, 170, 599, 465, 496 |
5 | 451, 85, 599, 465, 248 |
31 | 451, 17, 599, 93, 248 |
451, 17, 599, 3, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 451 x 17 x 599 x 3 x 8 = 68336891040
Therefore, the lowest common multiple of 902,340,599,465,992 is 68336891040.
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.
902 x 340 x 599 x 465 x 992 = 84737744889600
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
599 : 1, 599
465 : 1, 3, 5, 15, 31, 93, 155, 465
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,340,599,465,992, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
340:2x 2x 5x 17
599:599
465:3x 5x 31
992:2x 2x 2x 2x 2x 31
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 2x 5x 31 = 1240
Therefore, the value for common factors is 1240.
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 = 84737744889600/(1x1240)
LCM = 84737744889600/1240
LCM = 68336891040
Thus, we can understand that the LCM of 902,340,599,465,992 is 68336891040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 340, 599, 465, 992?
Answer: LCM of 902, 340, 599, 465, 992 is 68336891040.
2. How to calculate the LCM of 902, 340, 599, 465, 992?
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 902, 340, 599, 465, 992.
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}.