LCM of 499, 417, 723, 881, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 417, 723, 881, 308 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 499, 417, 723, 881, 308. So, keep reading to learn more.
Given numbers are 499,417,723,881,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,417,723,881,308 is 13607560318044.
Find LCM of 499,417,723,881,308 with Prime Factorization
| 3 | 499, 417, 723, 881, 308 |
| 499, 139, 241, 881, 308 |
Multiply the prime numbers at the bottom and the left side.
3 x 499 x 139 x 241 x 881 x 308 = 13607560318044
Therefore, the lowest common multiple of 499,417,723,881,308 is 13607560318044.
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.
499 x 417 x 723 x 881 x 308 = 40822680954132
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.
499 : 1, 499
417 : 1, 3, 139, 417
723 : 1, 3, 241, 723
881 : 1, 881
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,417,723,881,308, is 1.
Now, the common factors can be found like this.
499:499
417:3x 139
723:3x 241
881:881
308:2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 40822680954132/(1x3)
LCM = 40822680954132/3
LCM = 13607560318044
Thus, we can understand that the LCM of 499,417,723,881,308 is 13607560318044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 417, 723, 881, 308
1. What is the LCM of 499, 417, 723, 881, 308?
Answer: LCM of 499, 417, 723, 881, 308 is 13607560318044.
2. How to calculate the LCM of 499, 417, 723, 881, 308?
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 499, 417, 723, 881, 308.
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}.