Find the LCM of 339, 460, 994, 942, 712 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 339, 460, 994, 942, 712. So, keep reading to learn more.
Given numbers are 339,460,994,942,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,460,994,942,712 is 2165875922280.
Find LCM of 339,460,994,942,712 with Prime Factorization
2 | 339, 460, 994, 942, 712 |
2 | 339, 230, 497, 471, 356 |
3 | 339, 115, 497, 471, 178 |
113, 115, 497, 157, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 115 x 497 x 157 x 178 = 2165875922280
Therefore, the lowest common multiple of 339,460,994,942,712 is 2165875922280.
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.
339 x 460 x 994 x 942 x 712 = 103962044269440
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.
339 : 1, 3, 113, 339
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
994 : 1, 2, 7, 14, 71, 142, 497, 994
942 : 1, 2, 3, 6, 157, 314, 471, 942
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,460,994,942,712, is 1.
Now, the common factors can be found like this.
339:3x 113
460:2x 2x 5x 23
994:2x 7x 71
942:2x 3x 157
712:2x 2x 2x 89
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 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 103962044269440/(1x48)
LCM = 103962044269440/48
LCM = 2165875922280
Thus, we can understand that the LCM of 339,460,994,942,712 is 2165875922280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 460, 994, 942, 712?
Answer: LCM of 339, 460, 994, 942, 712 is 2165875922280.
2. How to calculate the LCM of 339, 460, 994, 942, 712?
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 339, 460, 994, 942, 712.
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}.