LCM of 987, 894, 860, 845, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 894, 860, 845, 578 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 987, 894, 860, 845, 578. So, keep reading to learn more.
Given numbers are 987,894,860,845,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,894,860,845,578 is 6177125425380.
Find LCM of 987,894,860,845,578 with Prime Factorization
| 2 | 987, 894, 860, 845, 578 |
| 3 | 987, 447, 430, 845, 289 |
| 5 | 329, 149, 430, 845, 289 |
| 329, 149, 86, 169, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 329 x 149 x 86 x 169 x 289 = 6177125425380
Therefore, the lowest common multiple of 987,894,860,845,578 is 6177125425380.
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.
987 x 894 x 860 x 845 x 578 = 370627525522800
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
894 : 1, 2, 3, 6, 149, 298, 447, 894
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
845 : 1, 5, 13, 65, 169, 845
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,894,860,845,578, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
894:2x 3x 149
860:2x 2x 5x 43
845:5x 13x 13
578:2x 17x 17
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 5 = 60
Therefore, the value for common factors is 60.
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 = 370627525522800/(1x60)
LCM = 370627525522800/60
LCM = 6177125425380
Thus, we can understand that the LCM of 987,894,860,845,578 is 6177125425380.
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FAQs on LCM of 987, 894, 860, 845, 578
1. What is the LCM of 987, 894, 860, 845, 578?
Answer: LCM of 987, 894, 860, 845, 578 is 6177125425380.
2. How to calculate the LCM of 987, 894, 860, 845, 578?
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 987, 894, 860, 845, 578.
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}.