Find the LCM of 959, 792, 859, 859, 461 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 959, 792, 859, 859, 461. So, keep reading to learn more.
Given numbers are 959,792,859,859,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,792,859,859,461 is 300772328472.
Find LCM of 959,792,859,859,461 with Prime Factorization
859 | 959, 792, 859, 859, 461 |
959, 792, 1, 1, 461 |
Multiply the prime numbers at the bottom and the left side.
859 x 959 x 792 x 1 x 1 x 461 = 300772328472
Therefore, the lowest common multiple of 959,792,859,859,461 is 300772328472.
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.
959 x 792 x 859 x 859 x 461 = 258363430157448
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.
959 : 1, 7, 137, 959
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
859 : 1, 859
859 : 1, 859
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,792,859,859,461, is 1.
Now, the common factors can be found like this.
959:7x 137
792:2x 2x 2x 3x 3x 11
859:859
859:859
461:461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
859 = 859
Therefore, the value for common factors is 859.
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 = 258363430157448/(1x859)
LCM = 258363430157448/859
LCM = 300772328472
Thus, we can understand that the LCM of 959,792,859,859,461 is 300772328472.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 959, 792, 859, 859, 461?
Answer: LCM of 959, 792, 859, 859, 461 is 300772328472.
2. How to calculate the LCM of 959, 792, 859, 859, 461?
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 959, 792, 859, 859, 461.
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}.