Find the LCM of 282, 758, 680, 578, 217 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 282, 758, 680, 578, 217. So, keep reading to learn more.
Given numbers are 282,758,680,578,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,758,680,578,217 is 134052800280.
Find LCM of 282,758,680,578,217 with Prime Factorization
2 | 282, 758, 680, 578, 217 |
17 | 141, 379, 340, 289, 217 |
141, 379, 20, 17, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 141 x 379 x 20 x 17 x 217 = 134052800280
Therefore, the lowest common multiple of 282,758,680,578,217 is 134052800280.
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.
282 x 758 x 680 x 578 x 217 = 18231180838080
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
758 : 1, 2, 379, 758
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
578 : 1, 2, 17, 34, 289, 578
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,758,680,578,217, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
758:2x 379
680:2x 2x 2x 5x 17
578:2x 17x 17
217:7x 31
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 17 = 136
Therefore, the value for common factors is 136.
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 = 18231180838080/(1x136)
LCM = 18231180838080/136
LCM = 134052800280
Thus, we can understand that the LCM of 282,758,680,578,217 is 134052800280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 758, 680, 578, 217?
Answer: LCM of 282, 758, 680, 578, 217 is 134052800280.
2. How to calculate the LCM of 282, 758, 680, 578, 217?
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 282, 758, 680, 578, 217.
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}.