Find the LCM of 689, 998, 134, 737, 282 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 689, 998, 134, 737, 282. So, keep reading to learn more.
Given numbers are 689,998,134,737,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,998,134,737,282 is 71455615374.
Find LCM of 689,998,134,737,282 with Prime Factorization
2 | 689, 998, 134, 737, 282 |
67 | 689, 499, 67, 737, 141 |
689, 499, 1, 11, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 689 x 499 x 1 x 11 x 141 = 71455615374
Therefore, the lowest common multiple of 689,998,134,737,282 is 71455615374.
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.
689 x 998 x 134 x 737 x 282 = 19150104920232
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.
689 : 1, 13, 53, 689
998 : 1, 2, 499, 998
134 : 1, 2, 67, 134
737 : 1, 11, 67, 737
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,998,134,737,282, is 1.
Now, the common factors can be found like this.
689:13x 53
998:2x 499
134:2x 67
737:11x 67
282:2x 3x 47
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 67 = 268
Therefore, the value for common factors is 268.
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 = 19150104920232/(1x268)
LCM = 19150104920232/268
LCM = 71455615374
Thus, we can understand that the LCM of 689,998,134,737,282 is 71455615374.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 998, 134, 737, 282?
Answer: LCM of 689, 998, 134, 737, 282 is 71455615374.
2. How to calculate the LCM of 689, 998, 134, 737, 282?
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 689, 998, 134, 737, 282.
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}.