LCM of 740, 415, 509, 600, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 415, 509, 600, 993 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 740, 415, 509, 600, 993. So, keep reading to learn more.
Given numbers are 740,415,509,600,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,415,509,600,993 is 310439405400.
Find LCM of 740,415,509,600,993 with Prime Factorization
| 2 | 740, 415, 509, 600, 993 |
| 2 | 370, 415, 509, 300, 993 |
| 3 | 185, 415, 509, 150, 993 |
| 5 | 185, 415, 509, 50, 331 |
| 37, 83, 509, 10, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 83 x 509 x 10 x 331 = 310439405400
Therefore, the lowest common multiple of 740,415,509,600,993 is 310439405400.
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.
740 x 415 x 509 x 600 x 993 = 93131821620000
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
415 : 1, 5, 83, 415
509 : 1, 509
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,415,509,600,993, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
415:5x 83
509:509
600:2x 2x 2x 3x 5x 5
993:3x 331
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 5 = 300
Therefore, the value for common factors is 300.
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 = 93131821620000/(1x300)
LCM = 93131821620000/300
LCM = 310439405400
Thus, we can understand that the LCM of 740,415,509,600,993 is 310439405400.
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FAQs on LCM of 740, 415, 509, 600, 993
1. What is the LCM of 740, 415, 509, 600, 993?
Answer: LCM of 740, 415, 509, 600, 993 is 310439405400.
2. How to calculate the LCM of 740, 415, 509, 600, 993?
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 740, 415, 509, 600, 993.
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}.