LCM of 815, 718, 480, 713, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 718, 480, 713, 196 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 815, 718, 480, 713, 196. So, keep reading to learn more.
Given numbers are 815,718,480,713,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,718,480,713,196 is 981316045920.
Find LCM of 815,718,480,713,196 with Prime Factorization
| 2 | 815, 718, 480, 713, 196 |
| 2 | 815, 359, 240, 713, 98 |
| 5 | 815, 359, 120, 713, 49 |
| 163, 359, 24, 713, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 163 x 359 x 24 x 713 x 49 = 981316045920
Therefore, the lowest common multiple of 815,718,480,713,196 is 981316045920.
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.
815 x 718 x 480 x 713 x 196 = 39252641836800
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.
815 : 1, 5, 163, 815
718 : 1, 2, 359, 718
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
713 : 1, 23, 31, 713
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,718,480,713,196, is 1.
Now, the common factors can be found like this.
815:5x 163
718:2x 359
480:2x 2x 2x 2x 2x 3x 5
713:23x 31
196:2x 2x 7x 7
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 5 = 40
Therefore, the value for common factors is 40.
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 = 39252641836800/(1x40)
LCM = 39252641836800/40
LCM = 981316045920
Thus, we can understand that the LCM of 815,718,480,713,196 is 981316045920.
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FAQs on LCM of 815, 718, 480, 713, 196
1. What is the LCM of 815, 718, 480, 713, 196?
Answer: LCM of 815, 718, 480, 713, 196 is 981316045920.
2. How to calculate the LCM of 815, 718, 480, 713, 196?
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 815, 718, 480, 713, 196.
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}.