LCM of 513, 989, 213, 600, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 989, 213, 600, 426 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 513, 989, 213, 600, 426. So, keep reading to learn more.
Given numbers are 513,989,213,600,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,989,213,600,426 is 7204469400.
Find LCM of 513,989,213,600,426 with Prime Factorization
| 2 | 513, 989, 213, 600, 426 |
| 3 | 513, 989, 213, 300, 213 |
| 71 | 171, 989, 71, 100, 71 |
| 171, 989, 1, 100, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 171 x 989 x 1 x 100 x 1 = 7204469400
Therefore, the lowest common multiple of 513,989,213,600,426 is 7204469400.
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.
513 x 989 x 213 x 600 x 426 = 27621935679600
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
989 : 1, 23, 43, 989
213 : 1, 3, 71, 213
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
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,989,213,600,426, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
989:23x 43
213:3x 71
600:2x 2x 2x 3x 5x 5
426:2x 3x 71
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 3x 71 = 3834
Therefore, the value for common factors is 3834.
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 = 27621935679600/(1x3834)
LCM = 27621935679600/3834
LCM = 7204469400
Thus, we can understand that the LCM of 513,989,213,600,426 is 7204469400.
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FAQs on LCM of 513, 989, 213, 600, 426
1. What is the LCM of 513, 989, 213, 600, 426?
Answer: LCM of 513, 989, 213, 600, 426 is 7204469400.
2. How to calculate the LCM of 513, 989, 213, 600, 426?
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 513, 989, 213, 600, 426.
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}.