LCM of 180, 714, 289, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 714, 289, 796 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 180, 714, 289, 796. So, keep reading to learn more.
Given numbers are 180,714,289,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,714,289,796 is 72463860.
Find LCM of 180,714,289,796 with Prime Factorization
| 2 | 180, 714, 289, 796 |
| 2 | 90, 357, 289, 398 |
| 3 | 45, 357, 289, 199 |
| 17 | 15, 119, 289, 199 |
| 15, 7, 17, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 15 x 7 x 17 x 199 = 72463860
Therefore, the lowest common multiple of 180,714,289,796 is 72463860.
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.
180 x 714 x 289 x 796 = 29565254880
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
289 : 1, 17, 289
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,714,289,796, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
714:2x 3x 7x 17
289:17x 17
796:2x 2x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 29565254880/(1x408)
LCM = 29565254880/408
LCM = 72463860
Thus, we can understand that the LCM of 180,714,289,796 is 72463860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 714, 289, 796
1. What is the LCM of 180, 714, 289, 796?
Answer: LCM of 180, 714, 289, 796 is 72463860.
2. How to calculate the LCM of 180, 714, 289, 796?
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 180, 714, 289, 796.
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}.