LCM of 894, 760, 989, 575, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 760, 989, 575, 913 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 894, 760, 989, 575, 913. So, keep reading to learn more.
Given numbers are 894,760,989,575,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,760,989,575,913 is 1533762760200.
Find LCM of 894,760,989,575,913 with Prime Factorization
| 2 | 894, 760, 989, 575, 913 |
| 5 | 447, 380, 989, 575, 913 |
| 23 | 447, 76, 989, 115, 913 |
| 447, 76, 43, 5, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 447 x 76 x 43 x 5 x 913 = 1533762760200
Therefore, the lowest common multiple of 894,760,989,575,913 is 1533762760200.
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.
894 x 760 x 989 x 575 x 913 = 352765434846000
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
989 : 1, 23, 43, 989
575 : 1, 5, 23, 25, 115, 575
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,760,989,575,913, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
760:2x 2x 2x 5x 19
989:23x 43
575:5x 5x 23
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 352765434846000/(1x230)
LCM = 352765434846000/230
LCM = 1533762760200
Thus, we can understand that the LCM of 894,760,989,575,913 is 1533762760200.
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FAQs on LCM of 894, 760, 989, 575, 913
1. What is the LCM of 894, 760, 989, 575, 913?
Answer: LCM of 894, 760, 989, 575, 913 is 1533762760200.
2. How to calculate the LCM of 894, 760, 989, 575, 913?
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 894, 760, 989, 575, 913.
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}.