LCM of 457, 589, 837, 300, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 457, 589, 837, 300, 678 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 457, 589, 837, 300, 678. So, keep reading to learn more.
Given numbers are 457,589,837,300,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,589,837,300,678 is 82124682300.
Find LCM of 457,589,837,300,678 with Prime Factorization
| 2 | 457, 589, 837, 300, 678 |
| 3 | 457, 589, 837, 150, 339 |
| 31 | 457, 589, 279, 50, 113 |
| 457, 19, 9, 50, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 457 x 19 x 9 x 50 x 113 = 82124682300
Therefore, the lowest common multiple of 457,589,837,300,678 is 82124682300.
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.
457 x 589 x 837 x 300 x 678 = 45825572723400
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.
457 : 1, 457
589 : 1, 19, 31, 589
837 : 1, 3, 9, 27, 31, 93, 279, 837
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,589,837,300,678, is 1.
Now, the common factors can be found like this.
457:457
589:19x 31
837:3x 3x 3x 31
300:2x 2x 3x 5x 5
678:2x 3x 113
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 3x 31 = 558
Therefore, the value for common factors is 558.
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 = 45825572723400/(1x558)
LCM = 45825572723400/558
LCM = 82124682300
Thus, we can understand that the LCM of 457,589,837,300,678 is 82124682300.
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FAQs on LCM of 457, 589, 837, 300, 678
1. What is the LCM of 457, 589, 837, 300, 678?
Answer: LCM of 457, 589, 837, 300, 678 is 82124682300.
2. How to calculate the LCM of 457, 589, 837, 300, 678?
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 457, 589, 837, 300, 678.
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}.