LCM of 887, 741, 793, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 741, 793, 351 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 887, 741, 793, 351. So, keep reading to learn more.
Given numbers are 887,741,793,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,741,793,351 is 360839583.
Find LCM of 887,741,793,351 with Prime Factorization
| 3 | 887, 741, 793, 351 |
| 13 | 887, 247, 793, 117 |
| 887, 19, 61, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 887 x 19 x 61 x 9 = 360839583
Therefore, the lowest common multiple of 887,741,793,351 is 360839583.
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.
887 x 741 x 793 x 351 = 182945668581
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.
887 : 1, 887
741 : 1, 3, 13, 19, 39, 57, 247, 741
793 : 1, 13, 61, 793
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,741,793,351, is 1.
Now, the common factors can be found like this.
887:887
741:3x 13x 19
793:13x 61
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 13 = 507
Therefore, the value for common factors is 507.
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 = 182945668581/(1x507)
LCM = 182945668581/507
LCM = 360839583
Thus, we can understand that the LCM of 887,741,793,351 is 360839583.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 887, 741, 793, 351
1. What is the LCM of 887, 741, 793, 351?
Answer: LCM of 887, 741, 793, 351 is 360839583.
2. How to calculate the LCM of 887, 741, 793, 351?
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 887, 741, 793, 351.
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}.