LCM of 798, 180, 849, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 180, 849, 876 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 798, 180, 849, 876. So, keep reading to learn more.
Given numbers are 798,180,849,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,180,849,876 is 494576460.
Find LCM of 798,180,849,876 with Prime Factorization
| 2 | 798, 180, 849, 876 |
| 2 | 399, 90, 849, 438 |
| 3 | 399, 45, 849, 219 |
| 133, 15, 283, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 133 x 15 x 283 x 73 = 494576460
Therefore, the lowest common multiple of 798,180,849,876 is 494576460.
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.
798 x 180 x 849 x 876 = 106828515360
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
849 : 1, 3, 283, 849
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,180,849,876, is 3.
Now, the common factors can be found like this.
798:2x 3x 7x 19
180:2x 2x 3x 3x 5
849:3x 283
876:2x 2x 3x 73
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 3 = 72
Therefore, the value for common factors is 72.
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 = 106828515360/(3x72)
LCM = 106828515360/216
LCM = 494576460
Thus, we can understand that the LCM of 798,180,849,876 is 494576460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 798, 180, 849, 876
1. What is the LCM of 798, 180, 849, 876?
Answer: LCM of 798, 180, 849, 876 is 494576460.
2. How to calculate the LCM of 798, 180, 849, 876?
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 798, 180, 849, 876.
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}.