Find the LCM of 582, 679, 927, 487, 942 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 582, 679, 927, 487, 942. So, keep reading to learn more.
Given numbers are 582,679,927,487,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,679,927,487,942 is 96251635494.
Find LCM of 582,679,927,487,942 with Prime Factorization
2 | 582, 679, 927, 487, 942 |
3 | 291, 679, 927, 487, 471 |
97 | 97, 679, 309, 487, 157 |
1, 7, 309, 487, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 1 x 7 x 309 x 487 x 157 = 96251635494
Therefore, the lowest common multiple of 582,679,927,487,942 is 96251635494.
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.
582 x 679 x 927 x 487 x 942 = 168055355572524
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
679 : 1, 7, 97, 679
927 : 1, 3, 9, 103, 309, 927
487 : 1, 487
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,679,927,487,942, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
679:7x 97
927:3x 3x 103
487:487
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 97 = 1746
Therefore, the value for common factors is 1746.
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 = 168055355572524/(1x1746)
LCM = 168055355572524/1746
LCM = 96251635494
Thus, we can understand that the LCM of 582,679,927,487,942 is 96251635494.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 679, 927, 487, 942?
Answer: LCM of 582, 679, 927, 487, 942 is 96251635494.
2. How to calculate the LCM of 582, 679, 927, 487, 942?
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 582, 679, 927, 487, 942.
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}.