Find the LCM of 959, 265, 279, 137, 589 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, 265, 279, 137, 589. So, keep reading to learn more.
Given numbers are 959,265,279,137,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,265,279,137,589 is 1347169635.
Find LCM of 959,265,279,137,589 with Prime Factorization
31 | 959, 265, 279, 137, 589 |
137 | 959, 265, 9, 137, 19 |
7, 265, 9, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
31 x 137 x 7 x 265 x 9 x 1 x 19 = 1347169635
Therefore, the lowest common multiple of 959,265,279,137,589 is 1347169635.
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 265 x 279 x 137 x 589 = 5721429439845
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
265 : 1, 5, 53, 265
279 : 1, 3, 9, 31, 93, 279
137 : 1, 137
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,265,279,137,589, is 1.
Now, the common factors can be found like this.
959:7x 137
265:5x 53
279:3x 3x 31
137:137
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31x 137 = 4247
Therefore, the value for common factors is 4247.
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 = 5721429439845/(1x4247)
LCM = 5721429439845/4247
LCM = 1347169635
Thus, we can understand that the LCM of 959,265,279,137,589 is 1347169635.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 959, 265, 279, 137, 589?
Answer: LCM of 959, 265, 279, 137, 589 is 1347169635.
2. How to calculate the LCM of 959, 265, 279, 137, 589?
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, 265, 279, 137, 589.
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}.