Find the LCM of 459, 751, 577, 989, 598 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 459, 751, 577, 989, 598. So, keep reading to learn more.
Given numbers are 459,751,577,989,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,751,577,989,598 is 5114439849402.
Find LCM of 459,751,577,989,598 with Prime Factorization
23 | 459, 751, 577, 989, 598 |
459, 751, 577, 43, 26 |
Multiply the prime numbers at the bottom and the left side.
23 x 459 x 751 x 577 x 43 x 26 = 5114439849402
Therefore, the lowest common multiple of 459,751,577,989,598 is 5114439849402.
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.
459 x 751 x 577 x 989 x 598 = 117632116536246
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
751 : 1, 751
577 : 1, 577
989 : 1, 23, 43, 989
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,751,577,989,598, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
751:751
577:577
989:23x 43
598:2x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 117632116536246/(1x23)
LCM = 117632116536246/23
LCM = 5114439849402
Thus, we can understand that the LCM of 459,751,577,989,598 is 5114439849402.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 751, 577, 989, 598?
Answer: LCM of 459, 751, 577, 989, 598 is 5114439849402.
2. How to calculate the LCM of 459, 751, 577, 989, 598?
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 459, 751, 577, 989, 598.
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}.