LCM of 485, 796, 669, 398, 719
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 485, 796, 669, 398, 719 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 485, 796, 669, 398, 719. So, keep reading to learn more.
Given numbers are 485,796,669,398,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,796,669,398,719 is 185699106660.
Find LCM of 485,796,669,398,719 with Prime Factorization
| 2 | 485, 796, 669, 398, 719 |
| 199 | 485, 398, 669, 199, 719 |
| 485, 2, 669, 1, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 199 x 485 x 2 x 669 x 1 x 719 = 185699106660
Therefore, the lowest common multiple of 485,796,669,398,719 is 185699106660.
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.
485 x 796 x 669 x 398 x 719 = 73908244450680
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.
485 : 1, 5, 97, 485
796 : 1, 2, 4, 199, 398, 796
669 : 1, 3, 223, 669
398 : 1, 2, 199, 398
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,796,669,398,719, is 1.
Now, the common factors can be found like this.
485:5x 97
796:2x 2x 199
669:3x 223
398:2x 199
719:719
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 199 = 398
Therefore, the value for common factors is 398.
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 = 73908244450680/(1x398)
LCM = 73908244450680/398
LCM = 185699106660
Thus, we can understand that the LCM of 485,796,669,398,719 is 185699106660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 485, 796, 669, 398, 719
1. What is the LCM of 485, 796, 669, 398, 719?
Answer: LCM of 485, 796, 669, 398, 719 is 185699106660.
2. How to calculate the LCM of 485, 796, 669, 398, 719?
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 485, 796, 669, 398, 719.
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}.