Find the LCM of 280, 676, 817, 122, 608 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 280, 676, 817, 122, 608. So, keep reading to learn more.
Given numbers are 280,676,817,122,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,676,817,122,608 is 9433147360.
Find LCM of 280,676,817,122,608 with Prime Factorization
2 | 280, 676, 817, 122, 608 |
2 | 140, 338, 817, 61, 304 |
2 | 70, 169, 817, 61, 152 |
19 | 35, 169, 817, 61, 76 |
35, 169, 43, 61, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 35 x 169 x 43 x 61 x 4 = 9433147360
Therefore, the lowest common multiple of 280,676,817,122,608 is 9433147360.
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.
280 x 676 x 817 x 122 x 608 = 11470707189760
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
817 : 1, 19, 43, 817
122 : 1, 2, 61, 122
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,676,817,122,608, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
676:2x 2x 13x 13
817:19x 43
122:2x 61
608:2x 2x 2x 2x 2x 19
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 2x 2x 19 = 1216
Therefore, the value for common factors is 1216.
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 = 11470707189760/(1x1216)
LCM = 11470707189760/1216
LCM = 9433147360
Thus, we can understand that the LCM of 280,676,817,122,608 is 9433147360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 280, 676, 817, 122, 608?
Answer: LCM of 280, 676, 817, 122, 608 is 9433147360.
2. How to calculate the LCM of 280, 676, 817, 122, 608?
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 280, 676, 817, 122, 608.
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}.