LCM of 854, 489, 880, 905, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 489, 880, 905, 154 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 854, 489, 880, 905, 154. So, keep reading to learn more.
Given numbers are 854,489,880,905,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,489,880,905,154 is 33258141840.
Find LCM of 854,489,880,905,154 with Prime Factorization
| 2 | 854, 489, 880, 905, 154 |
| 5 | 427, 489, 440, 905, 77 |
| 7 | 427, 489, 88, 181, 77 |
| 11 | 61, 489, 88, 181, 11 |
| 61, 489, 8, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 61 x 489 x 8 x 181 x 1 = 33258141840
Therefore, the lowest common multiple of 854,489,880,905,154 is 33258141840.
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.
854 x 489 x 880 x 905 x 154 = 51217538433600
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
489 : 1, 3, 163, 489
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
905 : 1, 5, 181, 905
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,489,880,905,154, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
489:3x 163
880:2x 2x 2x 2x 5x 11
905:5x 181
154:2x 7x 11
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 5x 7x 11 = 1540
Therefore, the value for common factors is 1540.
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 = 51217538433600/(1x1540)
LCM = 51217538433600/1540
LCM = 33258141840
Thus, we can understand that the LCM of 854,489,880,905,154 is 33258141840.
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FAQs on LCM of 854, 489, 880, 905, 154
1. What is the LCM of 854, 489, 880, 905, 154?
Answer: LCM of 854, 489, 880, 905, 154 is 33258141840.
2. How to calculate the LCM of 854, 489, 880, 905, 154?
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 854, 489, 880, 905, 154.
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}.