LCM of 855, 978, 845, 178, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 978, 845, 178, 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 855, 978, 845, 178, 608. So, keep reading to learn more.
Given numbers are 855,978,845,178,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,978,845,178,608 is 67078046880.
Find LCM of 855,978,845,178,608 with Prime Factorization
| 2 | 855, 978, 845, 178, 608 |
| 3 | 855, 489, 845, 89, 304 |
| 5 | 285, 163, 845, 89, 304 |
| 19 | 57, 163, 169, 89, 304 |
| 3, 163, 169, 89, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 3 x 163 x 169 x 89 x 16 = 67078046880
Therefore, the lowest common multiple of 855,978,845,178,608 is 67078046880.
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.
855 x 978 x 845 x 178 x 608 = 76468973443200
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
978 : 1, 2, 3, 6, 163, 326, 489, 978
845 : 1, 5, 13, 65, 169, 845
178 : 1, 2, 89, 178
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 855,978,845,178,608, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
978:2x 3x 163
845:5x 13x 13
178:2x 89
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 3x 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 76468973443200/(1x1140)
LCM = 76468973443200/1140
LCM = 67078046880
Thus, we can understand that the LCM of 855,978,845,178,608 is 67078046880.
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FAQs on LCM of 855, 978, 845, 178, 608
1. What is the LCM of 855, 978, 845, 178, 608?
Answer: LCM of 855, 978, 845, 178, 608 is 67078046880.
2. How to calculate the LCM of 855, 978, 845, 178, 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 855, 978, 845, 178, 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}.