LCM of 858, 196, 280, 315, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 196, 280, 315, 718 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 858, 196, 280, 315, 718. So, keep reading to learn more.
Given numbers are 858,196,280,315,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,196,280,315,718 is 905584680.
Find LCM of 858,196,280,315,718 with Prime Factorization
| 2 | 858, 196, 280, 315, 718 |
| 2 | 429, 98, 140, 315, 359 |
| 3 | 429, 49, 70, 315, 359 |
| 5 | 143, 49, 70, 105, 359 |
| 7 | 143, 49, 14, 21, 359 |
| 143, 7, 2, 3, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 143 x 7 x 2 x 3 x 359 = 905584680
Therefore, the lowest common multiple of 858,196,280,315,718 is 905584680.
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.
858 x 196 x 280 x 315 x 718 = 10649675836800
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,196,280,315,718, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
196:2x 2x 7x 7
280:2x 2x 2x 5x 7
315:3x 3x 5x 7
718:2x 359
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 2x 3x 5x 7x 7 = 11760
Therefore, the value for common factors is 11760.
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 = 10649675836800/(1x11760)
LCM = 10649675836800/11760
LCM = 905584680
Thus, we can understand that the LCM of 858,196,280,315,718 is 905584680.
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FAQs on LCM of 858, 196, 280, 315, 718
1. What is the LCM of 858, 196, 280, 315, 718?
Answer: LCM of 858, 196, 280, 315, 718 is 905584680.
2. How to calculate the LCM of 858, 196, 280, 315, 718?
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 858, 196, 280, 315, 718.
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}.