LCM of 879, 515, 867, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 515, 867, 342 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 879, 515, 867, 342. So, keep reading to learn more.
Given numbers are 879,515,867,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,515,867,342 is 14914160010.
Find LCM of 879,515,867,342 with Prime Factorization
| 3 | 879, 515, 867, 342 |
| 293, 515, 289, 114 |
Multiply the prime numbers at the bottom and the left side.
3 x 293 x 515 x 289 x 114 = 14914160010
Therefore, the lowest common multiple of 879,515,867,342 is 14914160010.
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.
879 x 515 x 867 x 342 = 134227440090
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.
879 : 1, 3, 293, 879
515 : 1, 5, 103, 515
867 : 1, 3, 17, 51, 289, 867
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,515,867,342, is 1.
Now, the common factors can be found like this.
879:3x 293
515:5x 103
867:3x 17x 17
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 134227440090/(1x9)
LCM = 134227440090/9
LCM = 14914160010
Thus, we can understand that the LCM of 879,515,867,342 is 14914160010.
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FAQs on LCM of 879, 515, 867, 342
1. What is the LCM of 879, 515, 867, 342?
Answer: LCM of 879, 515, 867, 342 is 14914160010.
2. How to calculate the LCM of 879, 515, 867, 342?
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 879, 515, 867, 342.
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}.