LCM of 905, 600, 826, 982, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 600, 826, 982, 493 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 905, 600, 826, 982, 493. So, keep reading to learn more.
Given numbers are 905,600,826,982,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,600,826,982,493 is 10856961263400.
Find LCM of 905,600,826,982,493 with Prime Factorization
| 2 | 905, 600, 826, 982, 493 |
| 5 | 905, 300, 413, 491, 493 |
| 181, 60, 413, 491, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 181 x 60 x 413 x 491 x 493 = 10856961263400
Therefore, the lowest common multiple of 905,600,826,982,493 is 10856961263400.
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.
905 x 600 x 826 x 982 x 493 = 217139225268000
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.
905 : 1, 5, 181, 905
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
826 : 1, 2, 7, 14, 59, 118, 413, 826
982 : 1, 2, 491, 982
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,600,826,982,493, is 1.
Now, the common factors can be found like this.
905:5x 181
600:2x 2x 2x 3x 5x 5
826:2x 7x 59
982:2x 491
493:17x 29
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 5 = 20
Therefore, the value for common factors is 20.
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 = 217139225268000/(1x20)
LCM = 217139225268000/20
LCM = 10856961263400
Thus, we can understand that the LCM of 905,600,826,982,493 is 10856961263400.
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FAQs on LCM of 905, 600, 826, 982, 493
1. What is the LCM of 905, 600, 826, 982, 493?
Answer: LCM of 905, 600, 826, 982, 493 is 10856961263400.
2. How to calculate the LCM of 905, 600, 826, 982, 493?
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 905, 600, 826, 982, 493.
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}.