LCM of 280, 987, 463, 845, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 987, 463, 845, 942 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, 987, 463, 845, 942. So, keep reading to learn more.
Given numbers are 280,987,463,845,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,987,463,845,942 is 485003074920.
Find LCM of 280,987,463,845,942 with Prime Factorization
| 2 | 280, 987, 463, 845, 942 |
| 3 | 140, 987, 463, 845, 471 |
| 5 | 140, 329, 463, 845, 157 |
| 7 | 28, 329, 463, 169, 157 |
| 4, 47, 463, 169, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 4 x 47 x 463 x 169 x 157 = 485003074920
Therefore, the lowest common multiple of 280,987,463,845,942 is 485003074920.
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 987 x 463 x 845 x 942 = 101850645733200
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
987 : 1, 3, 7, 21, 47, 141, 329, 987
463 : 1, 463
845 : 1, 5, 13, 65, 169, 845
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,987,463,845,942, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
987:3x 7x 47
463:463
845:5x 13x 13
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 101850645733200/(1x210)
LCM = 101850645733200/210
LCM = 485003074920
Thus, we can understand that the LCM of 280,987,463,845,942 is 485003074920.
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FAQs on LCM of 280, 987, 463, 845, 942
1. What is the LCM of 280, 987, 463, 845, 942?
Answer: LCM of 280, 987, 463, 845, 942 is 485003074920.
2. How to calculate the LCM of 280, 987, 463, 845, 942?
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, 987, 463, 845, 942.
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}.