Find the LCM of 879, 573, 411, 379, 180 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, 573, 411, 379, 180. So, keep reading to learn more.
Given numbers are 879,573,411,379,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,573,411,379,180 is 523038032820.
Find LCM of 879,573,411,379,180 with Prime Factorization
3 | 879, 573, 411, 379, 180 |
293, 191, 137, 379, 60 |
Multiply the prime numbers at the bottom and the left side.
3 x 293 x 191 x 137 x 379 x 60 = 523038032820
Therefore, the lowest common multiple of 879,573,411,379,180 is 523038032820.
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 573 x 411 x 379 x 180 = 14122026886140
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
573 : 1, 3, 191, 573
411 : 1, 3, 137, 411
379 : 1, 379
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,573,411,379,180, is 1.
Now, the common factors can be found like this.
879:3x 293
573:3x 191
411:3x 137
379:379
180:2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 14122026886140/(1x27)
LCM = 14122026886140/27
LCM = 523038032820
Thus, we can understand that the LCM of 879,573,411,379,180 is 523038032820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 879, 573, 411, 379, 180?
Answer: LCM of 879, 573, 411, 379, 180 is 523038032820.
2. How to calculate the LCM of 879, 573, 411, 379, 180?
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, 573, 411, 379, 180.
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}.