LCM of 913, 573, 572, 400, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 573, 572, 400, 903 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 913, 573, 572, 400, 903. So, keep reading to learn more.
Given numbers are 913,573,572,400,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,573,572,400,903 is 818832814800.
Find LCM of 913,573,572,400,903 with Prime Factorization
| 2 | 913, 573, 572, 400, 903 |
| 2 | 913, 573, 286, 200, 903 |
| 3 | 913, 573, 143, 100, 903 |
| 11 | 913, 191, 143, 100, 301 |
| 83, 191, 13, 100, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 83 x 191 x 13 x 100 x 301 = 818832814800
Therefore, the lowest common multiple of 913,573,572,400,903 is 818832814800.
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.
913 x 573 x 572 x 400 x 903 = 108085931553600
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.
913 : 1, 11, 83, 913
573 : 1, 3, 191, 573
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,573,572,400,903, is 1.
Now, the common factors can be found like this.
913:11x 83
573:3x 191
572:2x 2x 11x 13
400:2x 2x 2x 2x 5x 5
903:3x 7x 43
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 11 = 132
Therefore, the value for common factors is 132.
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 = 108085931553600/(1x132)
LCM = 108085931553600/132
LCM = 818832814800
Thus, we can understand that the LCM of 913,573,572,400,903 is 818832814800.
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FAQs on LCM of 913, 573, 572, 400, 903
1. What is the LCM of 913, 573, 572, 400, 903?
Answer: LCM of 913, 573, 572, 400, 903 is 818832814800.
2. How to calculate the LCM of 913, 573, 572, 400, 903?
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 913, 573, 572, 400, 903.
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}.