LCM of 937, 200, 456, 589, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 200, 456, 589, 843 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 937, 200, 456, 589, 843. So, keep reading to learn more.
Given numbers are 937,200,456,589,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,200,456,589,843 is 93049159800.
Find LCM of 937,200,456,589,843 with Prime Factorization
| 2 | 937, 200, 456, 589, 843 |
| 2 | 937, 100, 228, 589, 843 |
| 2 | 937, 50, 114, 589, 843 |
| 3 | 937, 25, 57, 589, 843 |
| 19 | 937, 25, 19, 589, 281 |
| 937, 25, 1, 31, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 937 x 25 x 1 x 31 x 281 = 93049159800
Therefore, the lowest common multiple of 937,200,456,589,843 is 93049159800.
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.
937 x 200 x 456 x 589 x 843 = 42430416868800
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.
937 : 1, 937
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
589 : 1, 19, 31, 589
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,200,456,589,843, is 1.
Now, the common factors can be found like this.
937:937
200:2x 2x 2x 5x 5
456:2x 2x 2x 3x 19
589:19x 31
843:3x 281
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 42430416868800/(1x456)
LCM = 42430416868800/456
LCM = 93049159800
Thus, we can understand that the LCM of 937,200,456,589,843 is 93049159800.
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FAQs on LCM of 937, 200, 456, 589, 843
1. What is the LCM of 937, 200, 456, 589, 843?
Answer: LCM of 937, 200, 456, 589, 843 is 93049159800.
2. How to calculate the LCM of 937, 200, 456, 589, 843?
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 937, 200, 456, 589, 843.
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}.