Find the LCM of 580, 883, 899, 977, 172 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 580, 883, 899, 977, 172. So, keep reading to learn more.
Given numbers are 580,883,899,977,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,883,899,977,172 is 666980919740.
Find LCM of 580,883,899,977,172 with Prime Factorization
2 | 580, 883, 899, 977, 172 |
2 | 290, 883, 899, 977, 86 |
29 | 145, 883, 899, 977, 43 |
5, 883, 31, 977, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 5 x 883 x 31 x 977 x 43 = 666980919740
Therefore, the lowest common multiple of 580,883,899,977,172 is 666980919740.
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.
580 x 883 x 899 x 977 x 172 = 77369786689840
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
883 : 1, 883
899 : 1, 29, 31, 899
977 : 1, 977
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,883,899,977,172, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
883:883
899:29x 31
977:977
172:2x 2x 43
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 29 = 116
Therefore, the value for common factors is 116.
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 = 77369786689840/(1x116)
LCM = 77369786689840/116
LCM = 666980919740
Thus, we can understand that the LCM of 580,883,899,977,172 is 666980919740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 580, 883, 899, 977, 172?
Answer: LCM of 580, 883, 899, 977, 172 is 666980919740.
2. How to calculate the LCM of 580, 883, 899, 977, 172?
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 580, 883, 899, 977, 172.
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}.